Question

A cone and cylinder are of the same height. If their diameters of their bases are in the ratio 3:2, find the ratio of their volumes.

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Answer 1

Answer:

1:12

Step-by-step explanation:

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MATHS

A cone and a cylinder are of same height. The radii of their bases are in the ratio 1:2. Find the ratio their volumes.

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ANSWER

It is given that, Height of cone and cylinder are same, let be h

Let the radius of cone be x

So, radius of cylinder be 2x

Volume of cone : volume of cylinder

⟹

3

1

π(x)

2

h:π(2x)

2

h

⟹

3

1

π(x)

2

h:π4(x)

2

h

⟹

3

1

:4

⟹1:12

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