Question

Jack decides to estimate the volume of a coffee cup by modeling it as a right cylinder. Jack measures its radius as 2.2 cm and its volume as 117 cubic centimeters. Find the height of the cup in centimeters. Round your answer to the nearest tenth if necessary.

Answer 1

To find volume of a cylinder, you find the area of the base circle and multiply it by the height of the cylinder.
If you find the area of the base circle, and you know the volume, you can find the height.
To find the area of the base circle, we follow the formula a = pi x radius^. 2.2^2 is 4.84, and pi x 4.84 is approximately 15.2 cm^2.
Now we divide the volume by the area, so 117 / 15.2 to get 7.69736842, which we round to the nearest tenth to get 7.7 centimeters.