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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.3 in Chapter 17 - Mensuration
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Find the volume of a sphere whose surface area is 154 cm².
Answer:
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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