Question

A sphere with a radius of 15 cm has the same volume as a cylinder with a radius of 5 cm. What is the height of the cylinder?

Answer 1

So the formula for solving the volume of a sphere is V=Pi(radius cubed) divided by 0.75. Plus your numbers in and you get V=3.14 times 15 cubed divided by 0.75. The answer is 14130. We know the volumes of both shapes are the same and that the volume of a cylinder is Pi times radius squared time hight. The equation with the numbers plugged in is 14130=3.14 times 5 squared times hight. Multiply 3.14 and 5 squared is 78.5. Now we have 14130=78.5 times hight. Isolate hight by dividing 14130 by 78.5 and the hight is 180 cm.