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Question

Base area and volume of a solid right circular cylinder are 13.86sq.cm and 69.3cu.cm respectively. Find the height and curved surface area. (Take π=227)

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Solution

Let A and V be the base area and volume of the solid right circular cylinder respectively.
Given that the base area A=πr2=13.86sq.cm and
volume, V=πr2h=69.3
Thus, πr2h=69.3
13.86×h=69.3
h=69.313.86=5cm
Now the base area =πr2=13.86
227×r2=13.86
r2=13.86×722=4.41r=4.41=2.1cm
Now, Curved Surface area, CSA=2πrh
=2×227×2.1×5
Thus, CSA=66sq.cm.

1035339_622524_ans_dd904bff0d24431b81471b79d705bab2.PNG

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