Question

A cylinder and a cone are of same base radius and of same height. Find the ratio of the volume of the cylinder to the volume of the cone.​

Answer 1

Answer:

3 : 1

Step-by-step explanation:

For this first we have to know the formula for both volumes

volume of cone is = 1/3 × 22 /7 ×r × r × h

volume of cylinder is = 22/7 × r×r × h

here r and h are same so the both will cancel out and also the pi ( 22/7 ) .

So, volume of cylinder : volume of cone = 3 : 1

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Answer 2

HeYa❤️...

Answer:

Formula:

$volume \: of \: cylinder = \pi \: r {}^{2} h \\ volume \: of \: cone = \frac{1}{3} \pi \: r {}^{2} h$

Given,

Height/Radius of cone = Height/Radius of cylinder.

Cone,

Height = h

Radius = r

Cylinder,

Height = h

Radius = r

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According to question,

$ratio = \frac{volume \: of \: cylinder}{volume \: of \: cone} \\ \\ = \frac{\pi \: r {}^{2} h}{ \frac{1}{3} \pi \: r {}^{2}h } \\ \\ = \frac{1}{ \frac{1}{3} } \\ \\ = \frac{3}{1} \\ \\ = 3:1$

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