Question

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

Answer 1

GIVEN :
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.

HOPE THIS WILL HELP YOU...

Answer 2

volume of Sphere =4/3 pie r sq
so pie value =22/7
so 4/3×22/7×r=154
r=154×7/22×3/4=36.75