Question

a balloon is the shape of a pencil is shown below. The pencil is made up of a cone and a cylinder. What is the volume, in cubic inches of the pencil balloon​

Answer 1

Answer:

$69.08\ in^{3}$

Step-by-step explanation:

we know that

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

Find the volume of the cone

The volume of the cone is equal to

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

we have

$r=2/2=1\ in$

$h=3\ in$

substitute

$V=\frac{1}{3}\pi (1^{2})(3)=\pi\ in^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=2/2=1\ in$

$h=21\ in$

substitute

$V=\pi (1^{2})(21)=21\pi\ in^{3}$

Find the area of the figure

$V=\pi\ in^{3}+21\pi\ in^{3}=22\pi\ in^{3}$

$V=22\pi=22*3.14=69.08\ in^{3}$