Question

The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere. State true or false and justify your answer.

Answer 1

Attached above, hope you satisfied with my answer.

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Answer 2

Answer:

let the radius of the sphere be( R)

as it is given that height and diameter cylinder are equal to the diameter of sphere..

show the radius of the cylinder is R and the height of the cylinder is 2R

now the volume of sphere=⅔ volume of cylinder

therefore, 4/3πR³=2/3(πr²*2R)

=4/3πR³

hence , the given statement is true....

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