Questions on Geometry: Volume, Metric volume answered by real tutors!

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Question 199895: One of your tutors was kind enough to help me with this problem. I'm very new to algebra and cant get a handle on this figure and how it added up to be there can oneone assist me to have a better understanding please .0255
.046(500 - x) + .0715x = .05(500)
:
All you need now is some basic algebra
Multiply what's inside the brackets
23 - .046x + .0715x = 25
:
.046x + .0715x = 25 - 23
:
.0255x = 2
x = 2/.o255
x = 78.43 hl removed and 78.43 hl of 7.15% added
Thank you for your help
Mark

Click here to see answer by RAY100(1637) About Me 

Question 200253: what is the volume of a cylinder whose height is 6 and its radius is 3
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Question 200814: A square box has a volume of 64 cubic inches. What is its perimeter?

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Question 201236: A cylindrical has a radius of 4.3 cm and a height of 8.1 cm. How much will a conical glass that has a radius of 8.6 cm and a height of 5.7 cm hold? Is this more or less than the cylindrical glass?
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Question 201436: what is the volume of a square pyramid with base of 14 yards x 14 yards with the height of 4 yards
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Question 201729: A container is 25 cm long, 14 cm wide, and 5.2 cm deep. Solve for the volume of the container is meters cubed.
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Question 201728: A container is 25 cm long, 14 cm wide, and 5.2 cm deep. Solve for the volume of the container is meters cubed.
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Question 202562: A cube measures 5cm on each side. How long is the diagonal that connects two opposite corners of the cube?
Click here to see answer by rfer(2688) About Me 

Question 203488: Find the volume of a refrigerator that is a rectangular solid and is 2 meters tall and has a base that is 1.2 meters square.
A) 1.44 cubic meters B) 2.4 cubic meters C) 2.88 cubic meters D) 3.2 cubic meters

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Question 203560: A cubical container measres 8cm on each edge.
a. What does it cost to paint the container at $3.75 per square cm?
SA=6(8)^2= 384 cm^2 x $3.75= $1440.00
b. What does it cost to fill the container at $2.77 per cubic cm?

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Question 203576: Suppose you are designing a cardboard box that must have a volume of 34 cubic feet. The cost of the cardboard is $9 per square ft. How much will the material for each box cost?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 203579: The supplement of angle x is 60 degrees more than twice the compliment of angle x. Find the measure of angle x.
60+ 2x=180-60
2x/2= 120/2
x=60

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Question 203578: Johnny can't decide which size pizza to order. The 10inch cheese and sausage pizza is $4.99, while the 12 inch deluxe is $5.99. If he gets the 10-inch pizza, the total price will be divided among 3 people. If he chooses the 12-inch pizza, then the total price will be divided among 4 people.
Which is the better buy?
12 inch pizza
How much will each person pay? (use 3.14)
$1.50 each

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Question 203577: A skating rink is designed in the shape of a rectangle with a semicircle on each end. The lenght of the rectangular portion of the rink is 44 feet and the width of the rectangular portion of the rink is 20 feet.
a.Find the perimeter of the skating rink. Round answer to the nearesth tenth.
128ft + 31.4ft(2)= 190.8ft
b. Find the total area of the skating rink. Round answer to the nearesth tenth.

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Question 203531: could some one help me in this ?
In a cylinder : r= 60cm , h =80 cm .The cylinder is laid on its superficies. There is water in the cylinder the level of which is 30cm high.
How much is the height of the level of the water if the cylinder is placed on its base?

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Question 203829: A cylinder can of cleaner holds 1 liter of liquid. What is its height if the diameter of the base is 10cm.
I am failing my geomerty class, I just do not get it, but trying. I did not get to give a reply of a "thank you" to a tutor(Stan) that answered 2 questions of mine a couple of weeks ago because it would not let me send it for some reason- So just in case-Thanks so much for your time in helping me.

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 203838: Make the following conversions to the nearest degree:
35 degrees celcius = degrees farenheit
I was unable to send a thank you to my last tutur(Stan)helper who took the time to solve my problems a couple of weeks ago because the application would not send it(it kept saying error), so just in case-Thank you so much whoever takes the time to help me out-I am drowning in geometry and I cannot tell you what a huge help this is.

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Question 203836: If you were buying nuts, would you rather pay $9/Kg or $4/500g? Explain.
I was unable to send a thank you to my last tutur(Stan)helper who took the time to solve my problems a couple of weeks ago because the application would not send it(it kept saying error), so just in case-Thank you so much whoever takes the time to help me out-I am drowning in geometry and I cannot tell you what a huge help this is.

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Question 204059: A room measures 15 ft by 19 ft. The ceiling is 10 ft. above the floor. The door is 3 ft. by 7 ft. A gallon of paint will cover 78.2 ft2. How many gallons of paint are needed to paint the room (including the ceiling and not including the door). Round your answer up to the next whole number.
Thank you for your time and your help.

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Question 204058: Make this statement true using inches and feet:

16 < 15
Thank you for your time and your help.

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Question 204056: Find the area of the shaded portion of the circle. Use 3.14 for π. Figure not drawn to scale.
The figure is an uncircumscribed circle with a square in it that says 10cm inside the square.The shaded portion is everything outside of the square, so portions of(in) the circle. I do not know if this question can be answered without the figure, but I have tried to figure this out and I have given up, it is over my head. Or if you could just give an example of an uncircumscribed circle and the shaded portion, would be helpful also. Thank you very much for your time.


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Question 204156: Solve the problem. Use 3.14 for π. Round to the nearest tenth, if necessary.
A cylindrical drain pipe is 6 in. across the top and about 12 in. high. How many cubic inches of water could it hold?

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Question 204157: Solve the problem. Use 3.14 as an approximation for π where appropriate.
Find the volume of a tent having the shape of a rectangular solid of length 15 ft, width 15 ft, and height 9 ft topped by a rectangular pyramid of the same width and length with height 8 ft. (Round to the nearest hundredth unit.)
Thank you tutors for all your help and time.

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Question 204157: Solve the problem. Use 3.14 as an approximation for π where appropriate.
Find the volume of a tent having the shape of a rectangular solid of length 15 ft, width 15 ft, and height 9 ft topped by a rectangular pyramid of the same width and length with height 8 ft. (Round to the nearest hundredth unit.)
Thank you tutors for all your help and time.

Click here to see answer by Theo(675) About Me 

Question 204154: Find the volume. Round to the nearest whole number, if necessary.
Cylindrical grain silo with hemispherical top. Where the heighth of the cylinder is 11 ft. and the diameter is 62 ft.
I hope this is understandable without the picture. Thank you for your time and consideration of this math problem.

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Question 204158: Use Euler's formula to answer the question.
A polyhedron has 15 vertices and 31 edges. How many faces does it have?
(I know that the formula is v+f=E+2, would I just subtract 33 from 15 to get the correct number of faces?)
Thank you so much for your help on this problem...

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Question 204155: A rectangular solid and a circular cylinder have the same volume and the same height. The base of the rectangular solid is a square. Which (if any) of the following statements are true?
(i) The rectangular solid and the cylinder have the same base area.
(ii) The rectangular solid has a greater base area than the cylinder.
(iii) The side length of the square base of the rectangular solid is equal to the diameter of the cylinder.
(iv) The side length of the square base of the rectangular solid is less than the diameter of the cylinder.
Thank you so much for any help you can give me.

Click here to see answer by RAY100(1637) About Me 
Question 204155: A rectangular solid and a circular cylinder have the same volume and the same height. The base of the rectangular solid is a square. Which (if any) of the following statements are true?
(i) The rectangular solid and the cylinder have the same base area.
(ii) The rectangular solid has a greater base area than the cylinder.
(iii) The side length of the square base of the rectangular solid is equal to the diameter of the cylinder.
(iv) The side length of the square base of the rectangular solid is less than the diameter of the cylinder.
Thank you so much for any help you can give me.

Click here to see answer by Alan3354(6092) About Me 

Question 204152: Find the ratio of the volume of the cone to the volume of the hemisphere if the height of the cone, h, is equal to the diameter of the hemisphere, d.
Thank you for all your help.

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Question 204287: Indicate the metric unit that would be best used to express the mass of the object.
A car key
P.S. Are they just talking about"inches"?

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Question 204932: Find the volume of a sphere that has a radius of 10 mm. Round the answer to the nearest tenth.
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Question 205224: what is the volume of a sphere with a radius of 8 mm? round the answer to the nearest whole number.
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Question 205236: solve for y. 5y^2-11y+2=0
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Question 205226: what is the circumference of the circle whose equation is (x-9)^2+(y-3)^2=64?
(^) means squared)

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Question 205504: My niece is being home-schooled (8th grade) and has gotten into some algebra and geometry problems that she is clueless with. The lessons give few examples and then when you finally get used to doing that particular set of problems they throw another monkey wrench in there, just to mess with you. I have been trying to help her, as I am the only one who has taken any of this stuff, but it has been 18 years since I have seen geometry and algebra, so need a crash course. Some of it is coming back fine, but I have hit a brick wall on 2 problems. These are pretty much identical (same idea just different numbers) so if I can have one explained, maybe it will make sense and I can explain it to her. I am trying to do this step-by-step and letting her solve for herself and just checking her answers, so please keep this in mind. She is smart and grasps relatively easily, but I am not a teacher, so I need the easiest concept to be able to get this across. Thanks in advance for your time!
The problem is: Enter the dimensions of a particular rectangle that has the volume of
50x cubed - 3 - 2x + 75x^
The answer should have three (3) sets of parentheses ( )x ( ) x( ) according to the "help screen" on her schoolwork.

Click here to see answer by Targetweek(62) About Me 
Question 205504: My niece is being home-schooled (8th grade) and has gotten into some algebra and geometry problems that she is clueless with. The lessons give few examples and then when you finally get used to doing that particular set of problems they throw another monkey wrench in there, just to mess with you. I have been trying to help her, as I am the only one who has taken any of this stuff, but it has been 18 years since I have seen geometry and algebra, so need a crash course. Some of it is coming back fine, but I have hit a brick wall on 2 problems. These are pretty much identical (same idea just different numbers) so if I can have one explained, maybe it will make sense and I can explain it to her. I am trying to do this step-by-step and letting her solve for herself and just checking her answers, so please keep this in mind. She is smart and grasps relatively easily, but I am not a teacher, so I need the easiest concept to be able to get this across. Thanks in advance for your time!
The problem is: Enter the dimensions of a particular rectangle that has the volume of
50x cubed - 3 - 2x + 75x^
The answer should have three (3) sets of parentheses ( )x ( ) x( ) according to the "help screen" on her schoolwork.

Click here to see answer by rapaljer(3622) About Me 

Question 205806: How do you figure out the height, width, and length for a box if you are only given the surface area?
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Question 205838: Hello-
I am having difficulty in figuring out the following problem: "The volume of a cube is given by V=s^3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm^3. Round the answer to three decimal places." If you can help me, I would greatly appreciate it. Thank you.
Phaedra Rosengarth

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Question 206355: Which equation represents the volume of a right circular cone with a radius of 6x and a height of 5?
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Question 206707: Solve the problem. Use 3.14 for π. Round to the nearest tenth, if necessary.
A cylindrical container has a diameter of 10 in. and a volume of 549.5 in^2. What is the height of the container?

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Question 207038: A rectangular aquarium is 2/3 full when 12000 cm^3 of water are placed in it. The aquarium is 20 cm deep and 20 cm wide. How long is the aquarium?
(A) 30 cm (B) 35 cm (C) 40 cm (D) 45 cm (E) 50 cm

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Question 207042: A cubic box of side 1m is placed on the floor. A second cubic box of side
2/3m is placed on top of the first box so that the center of the second box is directly above the center of the first box. A painter paints all of the surface area of the two boxes that can be reached without moving the boxes. What is the total area of surface that is painted?
(A) 49/9 m^2 (B) 57/9 m^2 (C)61/9 m^2 (D)72/9 m^2 (E) None of these

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Question 207119: A jug contains 16 liters of lemonade. How many 320 milliliter servings are in one jug?
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Question 207475: What is the approximate volume of a cone with a height of 5 meters and base radius of 8 meters? Use 3.14 for . pi

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Question 207586: V=(4/3)3.14(22.86)^3
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