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

Tutors Answer Your Questions about Volume (FREE)

Question 189329: I am trying to find the volume of a composite figure. The figure Is a cylinder that is 3 inches in height and 3 inches in length. Attached to one end of the cylinder is a cone which is 2 inches in length. The book wants me to find the volume of the composite figure. The following is what I've tried.
V= pi(r)to the power of 2 x H.
V= pi (3)to the power of 2 x 3 + 1/2 x 4/3 pi (2) to the power of 3.
V= pi (9)(3) + 2/3 pi (8)
V= 27 pi + 16.76 pi = 43.76pi.
So the answer would of been 43.76 pi. My teacher tells me this is wrong. So, I guess I need a new method for working this problem, and information to help me understand this topic better. Can you help??
Thanks
~Ave

Click here to see answer by ankor@dixie-net.com(15652)

Question 190094: My teacher did this example:
Volume=500 cubic inches
500=S^3
500^1/3=(s^3)1/3=s^1=s
500^1/3=s
3.648 in.=s
Can you please tell how he put 500^1/3 in the calculator and got 3.648 in. for the answer. I've put it in the calculator so many times and I can't seem to get the same answer.
Click here to see answer by Alan3354(30993)

Question 191327: A 20 cm pencil is in the shape of a cylinder. When the pencil is sharpened, the tip is a cone with a height of 4cm. Since the volume of a cone is one-third that of a cylinder with the same height and radius, Sean has calculated that about 13% of the volume of the pencil was removed in the sharpening. Was his calculation correct? Show your work.
With my calculations, I got a radius of approx. 1.4 cm. Is this correct? Is the 20 cm the height of the whole pencil?
Click here to see answer by solver91311(16885)

Question 191462: Ok so i need help on finding the volume of a:
-rectangular prism,(length=12 in.,width=8 in.,hieght=7 in.)
-pyramid,(L=10 in.,W=9 in., H=12 in.)
-cone,(radius=7 in., Height=14 in.)
PLEASE HELP ME WITH THIS QUESTION AND IF YOU KAN, KAN U GET THIS BY ME TODAY B4 4 o' clock
THANK YOU :)

Click here to see answer by user_dude2008(1861)

Question 191589: What is the volume of the largest ball that will fit inside a cubical box that has a volume of 64 cubic inches?
Click here to see answer by stanbon(57347)

Question 191521: The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet?
A factory is to be built on a lot measuring 180 ft by 240 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory.
What must the width of the lawn be?
Click here to see answer by RAY100(1637)

Question 191520: Given the surface area of a sphere is 40 pi cm^2, find its volume.
And given that the area of an equilateral triangle is 67 cm^2, find its perimeter.
Click here to see answer by ankor@dixie-net.com(15652)

Question 191836: 3. A solid wood toy boat with a mass of 325g raises the water level of a 50cm by 40cm aquarium 0.3cm. What is the density of the wood?
Click here to see answer by Alan3354(30993)

Question 191939: How many 1 inch cubes will fit inside a box that measures 1foot by 1 foot by 1foot?
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Question 192419: Determine the dimensions of the cylinder of maximum volume that can be inscribed in a sphere with a radius of 8cm.
The 8cm is the sphere's radius.
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Question 192544: 112. Volume of a cube. Find the exact volume of a cube with
sides of length 3_ meters.

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Question 192970: Write each ratio in simplest form?
10 kilometers to 20,000 meters
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Question 193190: I have tried to figure out how this question is answered by using the information from questions # 183096 & # 186337. I do not grasp the concept of these formulas. Can someone please walk me through this question?
A drinking glass is in the shape of a cylinder that is 5 cm in diameter and 140 mm tall. How many cubic centimeters of water will it hold? (Approximate solution to the nearest tenth.)

Click here to see answer by Alan3354(30993)

Question 193523: constract a function expressing the volume V of a cube as as function of the length of its diagonal d, where d is the line segment joining opposite non- co- planer vertics of the cube and d is not a side of the cube.
it is word problem I really dont know how to solve it please help me.
Click here to see answer by ankor@dixie-net.com(15652)

Question 193682: a sphere with radiur is inscribed in a cylinder. find the volume of the cylinder in terms of the radius?
Click here to see answer by nerdybill(6958)

Question 193805: What is the surface area of a rectangular prism that has a width of 2 inches, a length of 8 inches, and a height of 14 inches?
Click here to see answer by solver91311(16885)

Question 193908: what is the volume of a water tank that is 8ft in diameter and 12ft high
Click here to see answer by RAY100(1637)

Question 193927: Someone please help. I don't understand how to get the volume in a conical figure. This is a homework question not in the text.
A conical water tank has a base with a diameter of 6 ft and is 10 ft tall. How many gallons of water will the tank hold? Round your solution to the nearest hundredth. (1 cubic foot holds about 7.480519 gallons)

Click here to see answer by Earlsdon(6287)

Question 194002: Jeremy has a fish tank that has a 40-cm by 70-cm rectangular
base. The water is 25 cm deep. When he drops rocks
into the tank, the water goes up by 2 cm. What is the volume
in liters of the rocks?

can someone help i am trying to help my sis with some work but have forgotten all this stuff thank you
Click here to see answer by vleith(2825)

Question 194006: The Great Pyramid of Cheops has a square base of 771 ft on
a side and a height of 486 ft. How many apartments 35 ft x
20 ft x 8 ft would be needed to have a volume equivalent to
that of the Great Pyramid’s
we need help again please
Click here to see answer by checkley77(12569)

Question 193649: A closed rectangular box has a surface area of 1000 square cm. Its length is twice its width, and its height is six times its width. What is its volume?
Click here to see answer by ankor@dixie-net.com(15652)

Question 194503: an open- top box is to be made from an 8 in by 12 in rectangular piece of copper by cutting equal squares (x in by x in) from each corner and folding up the sides. write volume of the box V as a function of x. use a graphing calculator to find the maximum possible volume to the nearest hundredth of a cubic inch. what are the final dimensions of this box?
I am having hard time for this problem. please help me please...... it is urgent for my midterm exam please.....

Click here to see answer by ankor@dixie-net.com(15652)

Question 194666: a cylinder has a volume of about 500 centimeters cubed and a height of 10 centimeters what is the length of the radius to the nearest tenth of a centimeter?
Click here to see answer by RAY100(1637)

Question 182744: 10. If angle s =49 and angle t = 11, then angle r = ______.
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Question 194744: The figure is 4 cubes long, and 2 cubes wide, and three cubes high. what is the volume of the figure?
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Question 194846: A cube has a volume of 64. Find the length of its diagonal
Click here to see answer by nerdybill(6958)

Question 195543: How should I do this problem; I don't know how to get the answer. I do know that the formula to find a sphere's volume is V=Bh & "big b" is the area of the base, or pi times the radius squared. I do not recall doing this problem type in class. This is the problem:
The ratio between the volumes of two spheres is 27 to 8. What is the ratio between their respective radii?
A: 81:64
B: 9:8
C: 3:2
D: 27:16
Your help will be much appreciated, so thank you in advance! :D
Click here to see answer by user_dude2008(1861)

Question 195837: Find the volume of a cylindrical tank 20.0 m in diamter and 30.0 high
Click here to see answer by user_dude2008(1861)

Question 196138: I need help with a problem.
How many cubic yards of concrete are needed to fill a hole 18ft long, 4ft wide, and 9in. thick?
Please help.
Kathy Price
Click here to see answer by user_dude2008(1861)

Question 196411: Please help!!!
LPG is stored in highly insulated spherical vessels in most oil rifineries. If the inside diameter of one of these tanks is 11.4 ft, find it's volume. Report your answer to the nearest one-tenth of a gal. Use 3.14, and 1 cubic ft=7.5 gal.
Thanks,
Kathy
Click here to see answer by Alan3354(30993)

Question 196428: I am doing test corrections on our chapter test of volume and density, and this is the only problem that I still do not understand. I know that the ratio we have to figure out will be a comparison between the different bases, and it would be figured out with something along the lines of B(1)=B(.5), but I don't understand how you would figure out the exact numbers of the ratio.
A filter apparatus is submerged in fish tank A, raising the water level 1 cm. When the same filter is submerged in fish tank B, the water level is raised only 0.5 cm. If the fish tanks have the same water level without a filter, what is the ratio of the area of the water surface of tank A to the area of the water surface of tank B?
Click here to see answer by Alan3354(30993)

Question 196565: I have to make a cone with a volume of 500 inches cubed. I have to find the radius of the base and the height of the cone myself. Can you help me find the radius and height of the cone that equals 500 in3 in volume?

From John Baik
Click here to see answer by Alan3354(30993)

Question 198016: I have to construct a figure that can hold 100 mm cubed of water. I can't figure out how to find the easiest measurements to construct this. I am doing a cone so the formula is V=1/3*pi*radius squared*height. Please help! thanx!
Click here to see answer by josmiceli(9678)

Question 199166: I need to find the radius of a sphere that has a volume of 36pie. I know the formula for volume is v= 4/3 * 3.14 * r^3. I've tried working backwards 36 divided by 4/3 , but i'm brain dead and cant get passed that even if it is right.
Click here to see answer by Alan3354(30993)

Question 199322: In a cube, 10" on a side, a sphere of maximum radius is inscribed. What is the size (diameter) of the largest sphere that can be placed in the space remaining in any of the eight corners?
Click here to see answer by RAY100(1637)

Question 199401: In an oil field, as more wells are drilled each oil well pumps less oil; however, the total amount of oil pumped may increase. Suppose an oil field with 20 wells produces 10,000 barrels of oil daily. For each additional well, the production capacity of every well decreases by 10 barrels per day. Express the total volume V of oil pumped per day in terms of x, where x is the number of wells added.
ISBN: 1-56577-146-X
Click here to see answer by ankor@dixie-net.com(15652)

Question 199544: please please this was no my second exam and I miss this by a whole mile please help
a).Find the area of a trapeziod with a height of 6m and bases of 14m and 21m
b). Find the perimeter of the parallelogram below
9 in. on top
4 in. in the middle
5 in. on the right side
please help ASAP
Click here to see answer by stanbon(57347)

Question 199559: please help asap..on my worksheet it siads a closed rectangular box has a surface area of 1000 square feet. it's length is twice as its width and its height is six times its width..please help me and show me how you got to answer..thank you soo soo much!
Click here to see answer by solver91311(16885)

Question 199597: I have 500 hectolitres of 4.6% abv (alcohol by volume) beer in a tank. I need to increase the alcohol % up to 5%abv from 4.6%abv the max volume of tank 500hl so we need to remove some of the 4.6% and replace it with 7.15% abv bringing up the abv percentage to 5%. I need to know how much 4.6% to remove and how much 7.15% to replace it with. Can you please show me the formula used to figure out this question please
Thank you
Mark

Click here to see answer by ankor@dixie-net.com(15652)

Question 199606: Hello eveyone I need help on this one please help I really need your assistant thank you so much once again. this is the only way I know how to explain this problem.
Find the volume of the figure below with a circular base shown below. Give answer a). exactly and b). approximated to the nearest hundredth.
12 feet on top with a straight line across the middle and 10 feet on the side ity's like a big round container.

Click here to see answer by vleith(2825)

Question 199740: Put the two hemispheres together and you have a sphere with
Volume = (4/3)pi(2^3) = (32/3)pi cu.mm.
--------------------------
The body of the pill is a cylinder with
Volume = pi(2^2)*10 = 40pi cu.mm.
--------------------------
Pill volume : (152/3)pi cu mm = 50 2/3 pi cu mm
------------------------------
Medicine dosages are given in mm volume.
Would you calculate the volumes now using the value of pi to be approximately pi = 3.14?
Click here to see answer by solver91311(16885)

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