# The Surface Area of a Sphere is 154 Cm2. the Volume of the Sphere is - Mathematics

MCQ

The surface area of a sphere is 154 cm2. The volume of the sphere is

#### Options

• "179"2/3 "cm"^3

• "359"1/3"cm"^3

• "1437"1/3"cm"^3

• None of these

#### Solution

"179"2/3"cm"^3

surface area of a sphere = 4πr

Therefore,

4πr= 154

=> 4xx22/7xx"r"^2 = 154

=> "r"^2 = (154xx7/88)

=> "r"^2 = 49/4

=> "r"^2 = (7/2)^2

=> r = 7/2 "cm"

Volume of the sphere =4/3pi"r"^3

= "Volume of the sphere" = 4/3 pi"r"^3

= 539/3 "cm"^3

= 179 2/3 "cm"^2

Is there an error in this question or solution?

#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 69 | Page 924