1 Answer

Rinaldi · Answer 1 · 2020-10-25T18:26:42+0000

Answer:

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

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

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