Question

A cone-shaped paper cup has a depth of 9.8 cm. The radius of the circular top of the paper cup is 4.2 cm. Which is the volume of the paper cup to the nearest tenth of a cubic centimeter?

Answer 1

The volume of the paper cup is approximately 183 cubic centimeters.

Step-by-step explanation:

To find the volume of a cone-shaped paper cup, we can use the formula V = (1/3)πr²h, where r is the radius of the circular top and h is the depth of the cup. Given that the radius is 4.2 cm and the depth is 9.8 cm, we can substitute these values into the formula:

V = (1/3)π(4.2 cm)²(9.8 cm) = (1/3)π(17.64 cm²)(9.8 cm) ≈ 183 cm³

Therefore, the volume of the paper cup is approximately 183 cubic centimeters.