Question

Surface area of a sphere is 154 cm cube find its volume

Answer 1

Answer:

Surface area of sphere = 154 cm²

Surface area of sphere = 4πr²

154 = 4 ×(22/7) × r²

154 × 7 = 88r²

r² = (154×7) /88

r² = (7 × 7 )/4

 r² = 49 /4

r = √49/4 = 7/2

r = 7/2 cm

Volume of Sphere = 4/3 πr³

=( 4/3) × (22/7) × (7/2)³

= 4/3 × 22/7 × (7/2) × (7/2) × (7/2)

= (22 × 7 × 7) /(3×2)

=( 22 × 49) / 6= 1078/6 = 179.66 cm³

Volume of Sphere = 179.66 cm³

Hence, the Volume of Sphere is 179.66 cm³

Answer 2

Answer:surface area of sphere is 4 pie r^2

So 4*22/7*r^2=154

r^2=154*7/4*22

r^2 =12.2

r=3.49

Volume of sphere =4/3*22/7*r^3

=4/3*22/7*3.49*3.49*3.49

=42.508

So volume =42.508

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