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andreev551 [17]
3 years ago
15

A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?

Mathematics
1 answer:
pychu [463]3 years ago
5 0

Answer:

<h2>35 cm³</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V_1=\pi r^2H

r - radius

H - height

The formula of a volume of a cone:

V_2=\dfrac{1}{3}\pi r^2H

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}

Therefore:

V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3

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