Question

if the surface area of the sphere is 154 cm square then find the volume of the sphere

Answer 1

TSA of sphere = 4 pi r^2

=> 4 pi r^2 = 154

=> 4 × 22r^2 / 7 = 154

=> r^2 = 154 × 7 / 4 × 22

=> r^2 = 7 × 7 / 2 × 2

=> r = 7/2

Now,

Volume = 4/3 pi r^3

= 4/3 [ 22 × 7 × 7 × 7 / 7 × 2 × 2 × 2]

= [ 11 × 7 × 7 / 3]

= 11 × 49 / 3

= 539 / 3

= 179.7 cm^3 ( approx..)

Answer 2

hope this helps and ☺☺☺