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
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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