Question

A paper cup used in an office break room has a diameter of 9 centimeters and a height of 13 centimeters. What is the amount of water the paper cup can hold when completely full? Round to the nearest tenth.

Answer 1

827.0 cm³

Explanation:

The question we are told is to find the volume of water that can fill the paper cup. This means that we have to find the volume of a cylinder (the cup).

1) understand the equation for volume of a cylinder

The formula for the volume of a cylinder is πr²h

The radius would be half the diameter, which is 4.5, and h would be the height which is 13.

2) Solve

This means our working out would be...

• π × 4.5² × 13 = 827.024

3) Round

We have to round this to the nearest tenth which would be 827.0 or 827!

Hope this helps, have a lovely day! :)