Question

the base of a cylinder and a cone are same.if their heights are also same ,then the ratio of their volumes will be​

Answer 1

Answer:

A right circular cylinder ans a cone have equal bases and equal heights. If their curved surface areas are in the ratio 8 : 5 8:5 8:5, show that the ratio between radius of their bases to their height is 3 : 4 3: 4 3:4. Hence ratio of radius to height is 3 : 4 3: 4 3:4.

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Answer 2

The ratio of the volume of cylinder to the volume of cone = 3 : 1

Step-by-step explanation:

Let the radius of cylinder = The radius of cone = r and

The height of cylinder = The height of cone = h

To find, the ratio of the volume of cylinder to the volume of cone = ?

We know that,

The volume of cylinder = $\pi r^2h$

Also,

The volume of cone = $\dfrac{1}{3} \pi r^2h$

∴ The ratio of the volume of cylinder to the volume of cone

= $\pi r^2h$ : $\dfrac{1}{3} \pi r^2h$

$= \dfrac{\pi r^2h}{\dfrac{1}{3} \pi r^2h}$

= 3 : 1

∴ The ratio of the volume of cylinder to the volume of cone = 3 : 1