Question

find the volume of the sphere whose surface area is 154cmsq

Answer 1

Surface Area of sphere = 154 cm^2

=> 4 pi r^2 = 154

=> 4 × 22 r^2 / 7 = 154

=> 88r^2 = 154 × 7

=> r^2 = 154 × 7 / 88

=> r^2 = 7×7 / 4

=> r = 7 / 2

Radius of sphere = 3.5 cm

Volume = 4 /3 pi r^3

= 4/3 × 22/7 × 7/2 × 7/2 × 7/2

=> 1/3 × 11 × 7 × 7

=> 77 × 7 / 3

=> 539/ 3

=> 146.3 cm^3

Answer 2

Hey !!

Surface area of Sphere is given 154cm²

but surface area of Sphere = 4πr²

4πr² = 154cm²

4×22×r²/7 = 154cm²

88r² = 154×7

r² = 154×7/4

r = √49/2

r = 7/2

now , from formula as we know that volume of Sphere = 4/3πr³

4/3πr³ = 4/3×22/7 ×(7/2)³

4/3× 22×49/8

= 49×11/3

= 179.6666cm³ Answer

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Hope it helps you !!!

@Rajukumar111