Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere? 6 meters cubed 7 meters cubed 14 meters cubed 28 meters cubed

Answer 1

Answer:

The answer is 14m^3. This is correct on edge 2020. Can I get brainliest please?

Answer 2

The volume of sphere is 14 m³.

Given - Volume of cylinder

Find - Volume of sphere

Solution - The height and radius of both objects are same. The height of sphere will be equal to diameter. Diameter of sphere will be 2r.

Hence, h = 2r

Volume of cylinder = πr²h

21 = π*r²*2r

r³ = 21/2π

Volume of sphere = 4/3πr³

Volume of sphere = 4/3*π*21/2π

Volume of sphere = 4*21/3*2

Volume of sphere = 84/6

Volume of sphere = 14 m³

Hence, the volume of sphere is 14 m³.

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