Question

If the volume of the solid sphere 7241 1/7 cubic cm .Find its radius

Answer 1

The volume of the solid sphere , V = 7241 1/7 cm³

or, V = (7241 × 7 + 1)/7 cm³

or, V = (50687 + 1)/7 cm³

or, V = (50688)/7 cm³

we know, volume of solid sphere , V = 4/3 πr³ , where r is radius of solid sphere.

so, 50688/7 cm³ = 4/3 π r³

or, 50688/7 = 4/3 × 22/7 × r³

or, 50688 × 3 = 4 × 22 × r³

or, 576 × 4 × 22 × 3 = 4 × 22 × r³

or, 576 × 3 = r³

or, r³ = (4 × 4 × 4 × 3 × 3) × 3

or, r³ = (4 × 3)³ = (12)³

or, r = 12

hence, radius of the solid sphere is 12cm