Question

Ratio of volumes of cylinder to cone is ​

Answer 1

Answer:

1 : 6 ......

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Answer 2

Answer:

Ratio of their volume is 3:1

Step by step explanation:

Given Cylinder and Cone has a same base radii and same base heights .

We have to find the Ratio of volumes of cylinder to cone.

As,

V(cone) =

$\frac{1}{3} \pi {r}^{2} \times h$

where,

R is radius of the cone.

H is height of the cone.

Also,

Given Cylinder and Cone having same radii and height.

Therefore,

V (cylinder) ;

$\pi {r}^{2} \times h$

Ratio :

$\frac{v(cylinder)}{v(cone)}$

=

$\frac{\pi {r}^{2} \times h }{ \frac{1}{3}\pi {r}^{2} \times h }^{2}$

Hence..,

Ratio of volume of cylinder to cone is 3:1

Hope it helps you frnd!!!✨