Question

please help me solve,the question is A cylinder with a diameter of 8 feet is cut out of a cube that measures 8 feet on each side.What is the volume of the resulting shape? ( use Pi and round to the nearest tenth.) ______ ft3

Answer 1

Side of cube = 8 ft

Volume of cube = Side x Side x Side

Volume of cube = 8 x 8 x 8

Volume of cube = 512 feet^3

A cylinder with diameter 8feet is cute form the cube

Height of cylinder = Side of cube

Height of cylinder = 8 feet

Diameter of cylinder = 8 feet

Radius of cylinder = 4feet

`\begin{gathered} \text{Volume of cylinder =}\Pi* radius^2* Height \\ \text{Volume of cylinder =}\Pi*4*4*8 \\ \text{Volume of cylinder =}401.92ft^3 \end{gathered}`

The volume of resulting shape = Volume of cube - Volume of cylinder

Volume of resulting shape = 512 - 401.92

Volume of resulting shape = 110.08 ft^3

Answer: 110.08 ft^3