Q. 84.2( 10 Votes )

# <span lang="EN-US

Answer :

Let r be the radius of base and h be the height of cylinder

Curved surface area of cylinder = 660 cm^{2}

Curved surface area = 2πrh

⇒ 2πrh = 660

⇒ 2 × × r × h = 660

⇒ r × h =

⇒ r × h =

⇒ r × h = 15 × 7

⇒ r × h = 105

⇒ rh = 105

Volume of cylinder = 1650 cm^{3}

Volume of cylinder = πr^{2}h

⇒ πr^{2}h = 1650

⇒ × r × r × h = 1650

Using r × h = 105 we get

⇒ × r × 105 = 1650

⇒ 22 × 15 × r = 1650

⇒ r =

⇒ r =

⇒ r = 5 cm

Substitute r = 5 in r × h = 105 to get h

⇒ 5 × h = 105

⇒ h =

⇒ h = 21 cm

Therefore, radius is 5 cm and height is 21 cm

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