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Question

If the volume of a cylinder is 3080 cm3 and the base radius is 7 cm, find the curved surface area of the cylinder.

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Solution

Given,
Volume of the cylinder =3080 cm3

Radius of base r=7 cm

Let the height be h.

π=227

Volume of cylinder =3080 cm3

πr2h=3080

227×7×7×h=3080

154×h=3080

h=3080154

h=20

Height of the cylinder h=20 cm

Curved surface area of the cylinder =2πrh

=2×227×7×20

=2×22×20

=880cm2

Hence, the curved surface area of the ccylinder is 880 cm2

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