Q.

The circumference of the base of a cylinder is 88 cm and its height is 30 cm. Find the volume of the cylinder.

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a

36960 cm3

b

20480 cm3

c

16400 cm3

d

18480 cm3

answer is B.

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Detailed Solution

Given, the height of a cylinder (h) = 30 cm. 

The circumference of the base of a cylinder = 88 cm.

We know that the circumference of the base = 2πr  (Where π=227 and r is the radius of the cylinder)

88=2×227×r

r=14 cm

The volume of the cylinder=πr2h.

=227×14×14×30

=18480 cm3

Therefore, the volume of the cylinder is 18480 cm3.

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