Question

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

Answer 1

Answer:

The volume of the figure is equal to

$\frac{1,225}{3}\pi\ ft^{3}$  or  $408\frac{1}{3}\pi\ ft^{3}$

Step-by-step 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

$V=\frac{1}{3}\pi r^{2}H$

we have

$r=7\ ft$

$H=7\ ft$

substitute

$V=\frac{1}{3}\pi (7^{2})(7)=\frac{343}{3}\pi\ ft^{3}$

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

$\frac{343}{3}\pi\ ft^{3}+294 \pi\ ft^{3}=\frac{1,225}{3}\pi\ ft^{3}$

Convert to mixed number

$\frac{1,225}{3}\pi=\pi(\frac{1,224}{3}+\frac{1}{3})=408\frac{1}{3}\pi\ ft^{3}$