SOLUTION: a cylinder has a height of 20 cm and a diameter of 10 centimeters . what is the size of a cube in centimeters, that can hold the same amount of water

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Question 1014267: a cylinder has a height of 20 cm and a diameter of 10 centimeters . what is the size of a cube in centimeters, that can hold the same amount of water
Found 2 solutions by ikleyn, Cromlix:
Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
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a cylinder has a height of 20 cm and a diameter of 10 centimeters . what is the size of a cube in centimeters, that can hold the same amount of water
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The volume of a cylinder is pi%2Ar%5E2%2Ah .

The volume of a cube with the edge of a centimeters is a%5E3 cm%5E3.

So, a = root%283%2C+3.14%2A5%5E2%2A20%29 = root%283%2C+1570%29 = 11.62 cm.


Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Volume of a cylinder = Pi x r^2 h
= Pi x 5^2 x 20 = 1570.8 cm^3 (1 decimal place)
Volume of a cube = length x breadth x height
OR x^3 as all sides are the same.
x^3 = 1570.8
x = cube root of 1570.8 = 11.6 cm
So length = breadth = height = 11.6 cm.
11.6 cm ^3 = 1570.8 cm^3
Hope this helps :-)