Question

A cone is placed on a cylinder so that its base is fitted exactly with that of the cylinder. The ratio of the height of the cone and the cylinder is 3:5. If the volume of the solid is 369cm³ and the radius of the base 7cm, find the volume of the cone.

Answer 1

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Step-by-step explanation:

ANSWER

Given the radius of cylinder and cone are the same because there base areas are same.

Curved surface of cylinder = curved surface area of the cone

∴2πrh=πrl

∴l=2h

Given, height of cylinder =3 cm

Therefore, slant height of cone =6 cm

Answer 2

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A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1 : 2 : 3.

So, your answer is 754.28 cm².