If the radius of a cone is 10 cm and its height is 30 cm, find the volume of the cone.

Correct answer: 1000π cm³. Volume = (1/3)πr²h = (1/3)π(10)²(30) = 1000π cm³.

Background: The volume of a cone is one-third of the cylinder with the same base and height.

• 500π cm³: 500π is too small.
• 2000π cm³: 2000π is too large.
• 3000π cm³: 3000π is the volume of a cylinder with the same base and height.

Did you know? A cylinder with these measurements has volume πr²h = 3000π.

Memory trick: Cone = 1/3 of cylinder.