Question

A rectangular prism and a cylinder both have a height of 8m, and their cross-sectional areas are equal at every level parallel to their respective bases.

Complete the steps to find the prism.

Answer 1

1)
`V=lwh=5(x)(8)=\boxed{40x}`

2)
`V=\pi r^(2)h=(\pi)(3^(2))(8)=\boxed{72}\pi`

3)
`40x=72\pi\\\\x=(72\pi)/(40) \approx \boxed{5.7}`