A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Show a

Question

2 years ago

5

ll work

1 answer:

nexus9112 [7] · Answer 1 · 2022-01-24T13:54:00+03:00

Answer:

24 cubic inches

Step-by-step explanation:

The formulas for the volume of a cylinder and cone are ...

volume of a cylinder = πr^2·h

volume of a cone = (1/3)πr^2·h

For the same radius and height, the cone has 1/3 the volume of the cylinder. Your cone's volume is ...

(1/3)·(72 cubic inches) = 24 cubic inches