# ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.3 in Chapter 17 - Mensuration

Question 16 Mensuration Exercise 17.3

Find the volume of a sphere whose surface area is 154 cm².

Solution:

A sphere's volume is a measurement of how much space it can occupy. If we want to rotate a disc around a string, we can draw a circle on a piece of paper, take a disc, and attach a string to one side of it. A sphere's shape results from this.

Given surface area of the sphere = 154 cm2

4π r2 = 154

4×(22/7)×r2 = 154

r2 = (154×7)/(4×22)

r2 = 49/4

r = 7/2

Volume of the sphere = (4/3)π r3

= (4/3)×(22/7)×(7/2)3

= 539/3

= 179.666

= 179.67 cm3 (approx)

Hence the volume of the sphere is 179.67 cm3

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