Answer :

According to the question,

Let diameter of cylinder = 2r, then diameter of cone = 2r


radius of cylinder = 2r/2 = r, and radius of cone = 2r/2 = r


Let height of cylinder = h, then height of cone = h


Now, volume of cylinder = πr2h …(i) [by using the above values]


And volume of cone = 1/3 πr2h


Or


Volume of cone = 1/3 (πr2h) = 1/3 (Volume of cylinder) [by equation (i)]


Volume of cone = 1/3 (Volume of cylinder)


Volume of cylinder = 3 × Volume of cone


Thus, the volume of cylinder is three times the volume of cone.


Hence, it true.


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