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

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) (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 .

The volume of a cube with the edge of a centimeters is .

So, a = = = 11.62 cm.

Answer by Cromlix(4381) (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 :-)
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