Question

A cone and a cylinder have the same radius and the same volume. if the height of the cone is 18cm, what is the height of the cylinder?

Answer 1

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Answer 2

The height of the cylinder is 6 cm.

Given data :

Cone's height = 18 cm

Cone's radius = Cylinder's radius

Cone's volume = Cylinder's volume

Let,the radius = r cm

And, the height of the Cylinder = h cm

So,

Cone's volume = (1/3 × πr²× 18)cm³

Cylinder's volume = (πr²h) cm³

Now,

(1/3 × πr²× 18) = πr²h

6πr² = πr²h

h = 6 (answer)