Answer:
<h2>The cup can hold 240π cubic centimeters of water.</h2>Step-by-step explanation:
Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.
Solving for , we have
Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.
The volume of a cylinder is defined as
Where is the radius and
is the height. Replacing values, we have
Therefore, the cup can hold 240π cubic centimeters of water.