Question

find the volume of a sphere whose surface area is 154 cm square

Answer 1

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Answer 2

Total Surface Area of sphere = 4 pi r^2

=> 4 pi r^2 = 154

=> 4× 22 × r^2 /7 = 154

=> r^2 = 154 × 7 / 22 × 4

=> r^2 = 7 × 7 / 4

=> r^2 = 49/4

=> r = 7/2 cm

=> r = 3.5 cm

Now,

Volume = 4/3 pi r^3

= 4×22 × 3.5 × 3.5 ×3.5 / 3 × 7

= 88 × 0.5 × 3.5 × 3.5 /3

= 44 × 3.5 × 3.5 / 3

= 539 / 3

= 179.6 cm^3