Question

you be the teacher explain how you would calculate the volume of the figure shows have fun be creative in detail​

Answer 1

The volume of the figure is equal to

`(1,225)/(3)\pi\ ft^(3)` or
`408(1)/(3)\pi\ ft^(3)`

Explanation:

we know that

The volume of the composite figure is equal to the volume of a cone plus the volume of a cylinder

step 1

Fin the volume of a cone

The volume of a cone is equal to

`V=(1)/(3)\pi r^(2)H`

we have

`r=7\ ft`

`H=7\ ft`

substitute

`V=(1)/(3)\pi (7^(2))(7)=(343)/(3)\pi\ ft^(3)`

step 2

Find the volume of the cylinder

The volume of the cylinder is equal to

`V=\pi r^(2)h`

we have

`r=7\ ft`

`h=6\ ft`

substitute

`V=\pi (7^(2))(6)=294 \pi\ ft^(3)`

step 3

Find the volume of the figure

`(343)/(3)\pi\ ft^(3)+294 \pi\ ft^(3)=(1,225)/(3)\pi\ ft^(3)`

Convert to mixed number

`(1,225)/(3)\pi=\pi((1,224)/(3)+(1)/(3))=408(1)/(3)\pi\ ft^(3)`