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# Find the volume of a sphere whose surface area is 154 cm^{2}.

**Solution:**

Since the surface area of the sphere is given, we can obtain the radius easily using the formula of the surface area of the sphere.

Let the radius of the sphere be r.

Surface area of the sphere = 4πr^{2}

Volume of a sphere = 4/3πr^{3}

Now, Surface area of the sphere = 4πr^{2} = 154cm²

r^{2} = 154cm^{2 }/ 4π

r^{2} = (154 cm^{2}) ÷ (4 × 22/7)

r = √49/4cm²

r = 7/2 cm

Now, radius of the sphere = 7/2 cm

Therefore, volume of the sphere = 4/3πr^{3}

= 4/3 × 22/7 × 7/2 cm × 7/2 cm × 7/2 cm

= 539/3 cm^{3}

Therefore, volume of the sphere is 539/3 cm^{3}.

**☛ Check: **NCERT Solutions for Class 9 Maths Chapter 13

**Video Solution:**

## 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

**Summary:**

The volume of a sphere whose surface area is 154 cm² is equal to 539/3 cm³.

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