Question

the radii of the bases of a cylinder and a cone are in the ratio of 3:4 and their heights are in the ratio of 2:3 then show that their volumes are in the ratio of 9:8

Answer 1

hiii dear!!!
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▪>>Let the radii of the bases of a cylinder and a cone be 3r and 4r.

▪Let the heights of the bases of a cylinder and a cone be 2h and 3h.

▪The volume of the cylinder =(pi) (3r)^2(2h) = 18(pi)r^2×h

▪The volume of the cone=(pi)(4r)^2(3h)/3= (16)(pi)r^2×h

▪The ratio of the volumes of the cylinder to that of the cone = 18:16 or 9:8.
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Answer 2

Hey buddy your answer is in the picture.

Hope it helps you :-)