A cylinder has radius r and height h. If the radius and height are doubled then a new cylinder is obtained.find the ratio of curved surface area of original cylinder to that of new cylinder.
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Answered by
34
CSA of original cylinder =πr^2h
= 22/7×r^2h
CSA of new cylinder=πr^2h
=22/7×2r^2×h
22/7×4r^2×h
ratio =22/7×r^2×h:22/7×4r^×h
=r^2×h:4r^2×h. (22/7 cancel on b.s)
=1:4
= 22/7×r^2h
CSA of new cylinder=πr^2h
=22/7×2r^2×h
22/7×4r^2×h
ratio =22/7×r^2×h:22/7×4r^×h
=r^2×h:4r^2×h. (22/7 cancel on b.s)
=1:4
Answered by
8
Answer:
CSA of original cylinder =πr^2h
= 22/7×r^2h
CSA of new cylinder=πr^2h
=22/7×2r^2×h
22/7×4r^2×h
ratio =22/7×r^2×h:22/7×4r^×h
=r^2×h:4r^2×h. (22/7 cancel on b.s)
=1:4
Step-by-step explanation:
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