Question

if the radius of the base of a right circular cylinder is halved keeping the height same find the ratio of their volumes of the reduced cylinder to that of the original

Answer 1

Volume of original cylinder = π(r)^2h

new r = r/2

new volume = π(r/2)^2h

=π(r)^2h/4

ratio of new volume to original volume = 1/4

= 1:4

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