Question

The diagram shows a tin can in the shape of a cylinder and its dimensions. What is the volume of the can in cubic inches in terms of tt? А 1087 in. B 3241 in. 9 in. 3 © 817 in. D 541 in. 6 in. -

Answer 1

The volume of a cylinder is:

$V=\pi r^2h$

Where:

r is the radius

h is the height

You have the diameter on the base, you use the diameter to find the radius, as the diameter is:

$d=2r$

Then, the radius is:

$r=\frac{d}{2}$

d=6in

$r=\frac{6in}{2}=3in$Then, the volumen of the given cylinder is: 81pi cubic inches$V=\pi(3in)^2\cdot9in$$V=\pi\cdot9in^2\cdot9in$$V=81\pi in^3$