Question

Find the volume of a sphere whose volume to surface area is 154 centimetre square

Answer 1

Answer

GIVEN DATA :

Surface area of sphere = 154 cm²

TO FIND:

volume of a sphere=?

FORMULAE:

Volume of Sphere = 4/3 πr³

To get the value of r, we use the formula of area i.e,

Surface area of sphere = 4πr²

SOLUTION:

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