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Find the volume of a sphere whose surface area is 154 cm2.
Let the radius of the sphere be r.
Surface area of the sphere = 4πr2
Volume of a sphere = 4/3πr3
Now, Surface area of the sphere = 4πr2 = 154cm²
r2 = 154cm2 / 4π
r2 = (154 cm2) ÷ (4 × 22/7)
r = √49/4cm²
r = 7/2 cm
Now, radius of the sphere = 7/2 cm
Therefore, volume of the sphere = 4/3πr3
= 4/3 × 22/7 × 7/2 cm × 7/2 cm × 7/2 cm
= 539/3 cm3
Therefore, volume of the sphere is 539/3 cm3.
Find the volume of a sphere whose surface area is 154 cm².
NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.8 Question 7
The volume of a sphere whose surface area is 154 cm² is equal to 539/3 cm³.
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