Questions on Geometry: Bodies in space, right solid, cylinder, sphere answered by real tutors!

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Question 1618: The base of a right prism has an area of 25 square meters. The prism is 4.2 meters high. find the volue of the prism. Please help!!!!
Click here to see answer by usyim88hk(158) About Me 

Question 1789: A rectangular piece of sheet metal with an area of 1200 in^2 is to be bent into a cylindrical length (right circular cylinder) of stovepipe having a volume of 600 in^3. What are the dimensions of the sheet metal?
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Question 1893: How can I find the area of a tower of a castle.
the diameter is 7 but the tower has a open areas in the top each one has 3 cm of area.

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Question 2038: a cube of 3 units is painted on all sides.If this cube is divided into cubes of 1 unit,how many cube
have none of their faces painted?
(a)...
(b)2
(c)1
(d)0
(e)none of these

Click here to see answer by khwang(438) About Me 

Question 2584: Many roofs are designed in the shape of a pyramid. The formula:
Area= 2s * the square root of 0.25s(squared) + h(sqaured) where s = the lenghth of a side of the sqaure base and h = the height of the base of the pyramid to the vertex.
solve the equation for h algebraically
suppose that you are tiling a roof that is a pyramid with a square base having sides of length 42.0 ft and the tile is sold in bundles that cover an area of 25 square feet. Determine algebraically the maximum height you could build the roof if you have 80 bundles of tile.

Click here to see answer by khwang(438) About Me 

Question 2837: Use the information about a pair of similar solids to find all possible values of x:
Scale factor is 1:2; Volume ration is x-2:x^2-1

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Question 3202: what is the formulas for finding out the areas for cylinders and hexagons and all the abnormal shapes? please hurry on getting back to me it is finals week and I am not doing well. thank you.

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Question 4038: ~~SOMEONE PLEASE HELP ME ON THIS ONE...I HAVE POSTED IT 3 TIMES ALREADY AND NOONE RESPONDED. GOD BLESS SOMEONE WHO HELPS~~
How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?
a) 13,564.8 cubic feet
b) 2,260.8 cubic feet
c) 33,912 cubic feet
d) 54,259.20 cuic feet

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Question 4137: volume of the largest right circular cone which has been cut from a cube of side 8cm..
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Question 4320: The volume of the box is represented by x squared plus five x plus six, times x plus five. Find the polynomial that represents the area of the bottom of the box? Height is given by x plus 2.
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Question 4460: A ten-gallon aquarium is 3 inches higher than it is wide. Its length is 21 inches., and its volume is 2730 inches cubed. What are the height and width of the aquarium?
Click here to see answer by Earlsdon(6294) About Me 

Question 4463: Making a box, a rectangular box is to be formed by cutting squares from each corner of a rectangular piece of tin and folding up the sides. The box is to be 3 inches high, the length is to be twice the width, and the volume of the box is to be 96 cubic inches. Find the legnth and width of the box? HELP QUICK!!!!!!
Click here to see answer by rapaljer(4671) About Me 

Question 4477: A cylinder holds propane gas. The volume of the cylinder is 235.5 cubic feet. Find the height if the radius is 5 feet.
Click here to see answer by rapaljer(4671) About Me 

Question 21834: Well i really dont get this problem and it would be nice to have some help on it cuz it is confusing me so bad!! plz help!!
OK heres the prob
Fpr parts a,b, and c wite an expression that represents each amount then generalize the proces in part d.
a-A three foot peice fo string is cut.If one piece is x long , how long is the other piece.
b-Twent raffel tickets were sold. if g girls bought raffel tickets how many boys bought raffel tickets?
c-A pizza has 12 slices. If Karen ate p slices how many slices are left?
d-Write a general method fro expressing two parts of a whole using a single variable?

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Question 24616: find the surface area of a cone with a radius of 3 inches and a slant height
of 5 inches.

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Question 24615: find the surface area of square pyramid with a base of 2 yards and a slant ht.
of 5inches.

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Question 26304: what is a rectangular prism or prism? please help me dont know this . thank you very much.
Click here to see answer by terriblemathstudent(1) About Me 

Question 33357: How do u get the area of a cylinder.PLEASE
Click here to see answer by sarah_adam(201) About Me 

Question 33359: If there is a cylinder 60ft high and 20ft in diameter and it is two thirds full how much water is in it use 3.14 for pi. thanks i need it !
Click here to see answer by checkley71(8403) About Me 

Question 33378: if i have a cylinder 60ft high and 20ft radious what is the volume and how do u get it. thanks yall are very helpfull it makes homework so much easier


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Question 33624: I need help!


2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
Answer



b) What is the measurement of the height if the radius of the cylinder is 2 centimeters?
Answer
Show work in this space



c) Graph this function.
Show graph here



Click here to see answer by Nate(3500) About Me 

Question 37171: A dentist places a gold filling in the shape of a cylinder with a hemispherical top in a patient's tooth. The radius of the filling is 3 mm. The height of the cylindrical portion is 4 mm. If dental gold costs $16.00 per cubic millimeter, how much did the gold for the filling cost? Round to the nearest cent. Use π ≈ 3.14.
Click here to see answer by fractalier(6550) About Me 

Question 37170: A new pyramid has been found in South America. The pyramid has a rectangular base that measures 62 yd by 180 yd, and has a height of 100 yd. The pyramid is not hollow like the Egyptian pyramids and is composed of layer after layer of cut stone. The stone weighs 432 lb per cubic yard. How many pounds does the pyramid weigh?

Click here to see answer by fractalier(6550) About Me 

Question 38056: Please help. I need to find the surface area and volume of a sphere. I have a drawing of a sphere and 34in is written in the middle. Is this the radius or the diameter, can someone help me, I have been working on this problem for weeks.
Click here to see answer by fractalier(6550) About Me 

Question 39044: The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r isthe radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters. Write h as a function of r.
Click here to see answer by checkley71(8403) About Me 

Question 24614: find the volume of a cone with a height of 4m and a diameter of 2.2m
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Question 39132: The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r isthe radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters. Write h as a function of r.
Answer
Show work
What is the measurement of the height if the redius of the cylinder is 3 centimeters?
Answer
Show Work
Graph Function
Show graph here

Click here to see answer by fractalier(6550) About Me 

Question 39244: I have ask this question 2 times and got all but 1 of the answers If I don't get this assignment in today I will get an F for my grade PLEASE HELP I need the graph PLEASE PLEASE

2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a) Write h as a function of r.
Answer
Show work in this space
b) What is the measurement of the height if the radius of the cylinder is 3 centimeters?
Answer:
Show work in this space.



c) Graph this function.
Show graph here.


Click here to see answer by stanbon(75887) About Me 

Question 40803: A hollow metal sphere has an internal radius of 20 cm and an external radius of 30 cm. Given that the density of the metal is 7.8 g/cm^3 (gramme per cm cube), find the weight of the sphere. (Take PI to be 3.14).
Please help to solve this question.
I have tried to calculate the volume of the sphere using the internal radius but then I'm stucked with what I needed to do with the external radius ?
Thank you very much.

Click here to see answer by stanbon(75887) About Me 

Question 40804: It is a storage tank. So something must be inside it. So it will be hollow and it will have two radii (inner and outer). You have given only one diameter. So I presume that you have given inner diameter as the capacity is to be calculated and it cannot be calculated without knowing the inner diameter.
Let the inner radius of the cylinder be 'r' metres.
From your question it appears that the inner diameter of the hemispherical shell is also 'r' metres.
Let the height of the cylindrical portion only be 'h' metres.
Then h + r = 16.5 m
But r = 4.7 m, so h = 16.5 - 4.7 = 11.8 m
So volume of cylindrical portion = pi%2Ar%5E2%2Ah = pi%2A4.7%5E2%2A11.8 = 818.9 m%5E3.
Also the volume of the hemispherical portion = 2%2F3%2Api%2Ar%5E3 = 2%2F3%2Api%2A4.7%5E3 = 217.45 m%5E3.
Thus total capacity of the tank = 818.9 + 217.45 = 1036.35 m%5E3.

Click here to see answer by psbhowmick(878) About Me 

Question 40807: A cylindrical tin has an internal diameter of 18 cm. It contains water to a height of 13.2 cm. How far will the water level rise when a heavy ball 9.3 cm in diameter is immersed in it ?
Click here to see answer by astromathman(21) About Me 

Question 41448: A semicircle is folded to form a right circular cone so that its original base which measures 5 cm becomes the circumference of the cone base. Find :-
a)The diameter of the base
b)The curved surface area of the cone
This is what I have done
a)Diameter of the cone now = original base/2 = 5/2 = 2.5
b)Since the new diameter = 2.5 thus radius = diameter/2 = 2.5/2 = 1.25
Slant height = radius (is it correct ?)
Curved surface are of the cone
= PI r l (r = radius and l = slant length)
= 3.142 x 1.25 x 1.25
= 4.909375
= 4.9

Click here to see answer by venugopalramana(3286) About Me 

Question 52826: How do you graph volume? I have this equation that I received help in obtaining the answer but I don't know how to graph it. V(x) = 4x^3 - 28x^ + 48x I have graph 4.0.1 but I can't figure out how to graph in it.
Click here to see answer by rchill(405) About Me 

Question 52829: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
a) Write h as a function of r. Keep "" in the function's equation.
Answer
h(r)=100/(3.14)*r^2 is what i got but am not 100% sure
b) What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number.
Answer ????
c) Graph this function.

Click here to see answer by funmath(2933) About Me 

Question 55148: A cylinder has a radius of 5 in. If the volme of the cylinder is 250 in.3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = r2h.]
Thank you ;)

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Question 60670: Hi I am a distance education student and new to geometry. I do not know where to start. Thanks for helping.
Lee Ann
Problem: Find the volume of a right circular cylinder, if its radius is
ten and its height is five less than its radius.

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Question 61162: what is trigonometry?
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Question 65938: What is the capacity of a container which is 4 inches tall and has a 2-inch diameter?
Answer Choices:
A) 4pi cuin.
B) 8 cu in.
C) 12.4 pi cu in.
D) 16 cu in.

Click here to see answer by checkley71(8403) About Me 

Question 65977: The measure of one angle of a trianlge is five times that of a second angle, and the measure of an exterior angle at the third vertex is 120 degrees. What is the measure of each angle of the triangle?
Click here to see answer by uma(370) About Me 

Question 66019: A rectangle is 10cm longer than it is wide. A line segment cute the area enclosed into two pieces, one of which is a square. The area of the rectangle os 118cm^2 more than the area of the square. What is the width of the rectangle?
Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 66014: Nellie flowers applied for the position of gardner for the estate of the retired eccentric mathematics professor Ben Dannett. Professor Dannett proposed the same problem to each gardening applicant. The first applicant who was clever enough to solve the problem would get gardening position-with a very handsome salary! Professor Dannett asked each applicant to draw the plans for a gardeb walk from the follow description, showing all deminsions: The outer edges of the walk form a regular polygon, with each side measuring 36 meters. The inner edges of the wall are parallel to the outer edges, and they form the same type of regular polygon, with each side measuring 30 meters. Each interior angle of a regular polygon measures 160 degrees. Needles to say, no applicant had solved the professor's conundrum before Nellie. Nellie solved the problem, and she got the job. How many sides do each of the two regular polygons have?
Click here to see answer by Cintchr(481) About Me 

Question 68221: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a) Write h as a function of r. Keep "" in the function's equation.
Answer: H=121/r^2
Show work in this space.
V=R^2H
121=R^2H
R^R^


b) What is the measurement of the height if the radius of the cylinder is 3 centimeters? Round your answer to the hundredth's place.
Answer: H= 4.28 centimeters
Show work in this space.
H=121/R^2
H=121/(3.14)(3)^2
H=121/(3.14)(9)
H=121/28.26
c) Graph this function.
Show graph here.
how do I graph this? use do I use H and V and if so how???

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Question 70403: Hello,

Can someone help me find the volume of a sphere with a 5cm radius?

Thanks

Click here to see answer by checkley75(3666) About Me