SSC CHSL 6 Dec 2015 Shift 2 Paper

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Question : 144 of 200

Marks: +1, -0

The surface are of sphere is

616 cm^2

. The volume of the sphere would be:

$2100cm^2$
$2500cm^2$
$1437 1/3cm^2$
$122.5 3/5 cm^{2}$

Solution:

Let radius of sphere = r cm
Surface area =

4πr^2 = 616

⇒

4 ×22/ 7 r^2 = 616

⇒

r^2 = 616 ×7/ 88 = 49

⇒

r=√49=7

cm
∴ Volume =

4/3×πr^3

⇒

4 /37 × 22 /7 ×(7) ^3

=

4 /3 × 22 × 49 = 1437 1/3 cm^3

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