Question

Three metallic spheres of radius 3 cm, 6 cm, 9 cm are melted into a single sphere. Find the radius of the resulting sphere.

(a) 109.4 cm^3

(b) 4071.48 cm^3

(c) 1520 cm^3

(d) 1869.4 cm^3

I got this question in quiz.

This intriguing question originated from Conversion of Solid from One Shape to Another in section Surface Area and Volumes of Mathematics – Class 10

Answer 1

Correct option is (b) 4071.48 cm^3

To elaborate: Volume of the resulting sphere = sum of the volumes of all three spheres

= \(\frac {4}{3}\)π3^3 + \(\frac {4}{3}\)π6^3 + \(\frac {4}{3}\)π9^3

= 113.09 + 904.77 + 3053.62

= 4071.48 cm^3