Question

A cylinder and sphere have the same height. If the sphere has a volume of 361 cubic units, what is the height of the cylinder?

Answer 1

The height is 8.83 units

Explanation:

Recall that
`V_(sphere)=(4)/(3)\pi r^3`. Since the height of a sphere is just twice the radius, then we need to solve for r and multiply by 2 to get the height of the cylinder:

`V_(sphere)=(4)/(3)\pi r^3`

`361=(4)/(3)\pi r^3`

`1083=4\pi r^3`

`(1083)/(4\pi)=r^3`

`\sqrt[3]{(1083)/(4\pi)}=r`

`h=2r`

`h=2\sqrt[3]{(1083)/(4\pi)}`

`h\approx8.83`

Answer 2

Sa = 36 circumference per meter square