A cone has a volume of 130 cubic inches. What will be the volume of a cylinder with the same radius and height? Explain your rea

Question

Valentin [98]

3 years ago

12

A cone has a volume of 130 cubic inches. What will be the volume of a cylinder with the same radius and height? Explain your rea

soning.

Mathematics

1 answer:

romanna [79] · Answer 1 · 2022-06-03T12:06:33+03:00

Answer:

Step-by-step explanation:

A cone has a volume formula of

$V=\frac{1}{3}\pi r^2h$ while a cylinder has a volume formula of

$V=\pi r^2h$

As you can see by the formulas, the cylinder's volume will be 3 times greater than that of a cone with the same radius and height. Therefore, the volume of the cylinder with the same radius and height as the cone with given volume 130 cubic inches will be 390 cubic inches.