Mensuration Practice Test 7

Question : 2 of 40

Marks: +1, -0

The radius and height of the cylinder are in the ratio 5 : 7 and its volume is 550

cm^3

. Calculate its curved surface area in sq. cm.

Solution:

Radius and height of the cylinder = 5x, 7x.
Volume = 550

cm^3

πr^2h

= 550

π/7×(5x)^2 × 7x

= 550

x^3

{550}/{25} ×1/7×7/{22}

x^3

= 1
x = 1
Radius = 5 cm
Height = 7 cm
Curved surface area =

2πrh

2×{22}/7×5×7

220 cm^2

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