Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 xft?

Answer 1

Answer:

Volume of sphere =$\frac{2}{3}(27\pi) ft^3$

Step-by-step explanation:

We are given that

Radius of sphere=Radius of cylinder=r

Height of sphere=Height of cylinder=h

Height of sphere=h=Diameter of sphere=2r

Volume of cylinder=$27\pi ft^3$

Volume of cylinder=$\pi r^2 h$

Using the formula

Volume of cylinder=$\pi r^2(2r)=2\pi r^3=27\pi$

Volume of sphere=$\frac{4}{3}\pi r^3$

Using the formula

Volume of sphere=$\frac{2}{3}\times 2\pi r^3=\frac{2}{3}(27\pi)$

Hence, the volume of sphere =$\frac{2}{3}(27\pi) ft^3$