RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Surface Area and Volume of a Sphere

Subject: Mathematics - Class 9th

Q. No. 5 of CCE - Formative Assessment

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5

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

Surface area of a sphere = 4πr2


Given, surface area is 154 cm2


4 × (22/7) × r2 = 154


r2 = 49/4


r = 3.5 cm


Volume of a sphere = (4/3)πr3


Volume of the given sphere = (4/3) π × 3.53 = 179.66 cm3


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