Question

Ella decides to estimate the volume of a coffee cup by modeling it as a right cylinder. Ella measures its radius as 3 cm and its volume as 212 cubic centimeters. Find the height of the cup in centimeters. Round your answer to the nearest tenth if necessary.

Answer 1

In this question the volume and the height is given.

But we need to find the height of the cylinder

In order to find the height we use the volume of a cylinder formula,

212 = πr²h

Applying the given values in a equation we get

`212` =
`(22)/(7) X(3)^(2) X h`

`212 = (22)/(7) X 9`
`X h`

`7.5 = h`