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=(d)/(2)`

d=6in

`r=(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`