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How to find volume of a cylinder by using the same dimensions of a cone but only knowing the volume of the cone

1 Answer

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Answer:

Multiply the volume of the cone by 3

Explanation:

Required

Volume of a cylinder from a cone of the same dimension

The volume of a cone is:


V_1 = (1)/(3)\pi r^2h

The volume of a cylinder is:


V_2 = \pi r^2h

Recall that:


V_1 = (1)/(3)\pi r^2h

Split:


V_1 = (1)/(3)*[\pi r^2h]

Substitute:
V_2 = \pi r^2h


V_1 = (1)/(3)*V_2

Make V2 the subject


V_2 =3V_1

This implies that, we simply multiply the volume of the cone by 3

User Sukhrob
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