Question

Lena has started painting her room. She is down to her last can of paint. The cans of paint that she is using are 11 inches tall and have a diameter of 7 inches. How much paint does she have left if the paint is now 2 inches from the top of the can?

Question options:

134.75π in3

110.25π in3

154π in3

22π in3

Answer 1

110.25π
`in^(3)`

Explanation:

The can is a circular cylinder and has the formula for the volume to be

V =
`\pi r^(2) h`

r = 3.5 and h = 11

Since the paint is now 2 in. from the top of the can, then there are 9 in. left in the can, which means there is 9/11 of the total volume in the can.

Therefore,
`V = (9/11)\pi (3.5^(2) )(11)`

we get V = (9/11)(12.25)(11)π

= 110.25π
`in^(3)`