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4 years ago

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?

Mathematics

1 answer:

OleMash [197]4 years ago

6 0

Answer:

The volume of the cone is $26\ cm^{3}$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2}h$

In this problem we have that

$V=78\ cm^{3}$

$78=\pi r^{2}h$ -----> equation A

The volume of a cone with the same radius and height is equal to

$V=\frac{1}{3}(\pi r^{2}h)$ -----> equation B

Substitute equation A in equation B

$V=\frac{1}{3}(78)$

$V=26\ cm^{3}$

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3 years ago

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?​

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?