# Find the Volume of a Sphere, If Its Surface Area is 154 Sq.Cm. - Geometry

Sum

Find the volume of a sphere, if its surface area is 154 sq.cm.

#### Solution

Let the radius of the sphere be r cm.
Surface area of the sphere = 154 cm2
∴ 4πr2 = 154 cm2

⇒ 4 x 22/7 x r2 = 154

⇒ r2 = [154 x 7]/88 = 12.25

⇒ r2 = ( 3. 5)2

⇒ r = 3. 5

∴ Volume of the sphere = 4/3πr3 = 4/3 x 22/7x ( 3. 5)3 = 179.67 cm3

Thus, the volume of the sphere is 179.67 cm3.

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#### APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 9 Surface Area and Volume
Problem Set 9 | Q 6 | Page 123