Question

3 spheres of radii 3cm,4cm and 5cm are melted to form a single sphere.find the radius of new sphere.

Answer 1

r1 = 3cm r2 = 4cm r3 = 5cm

R = ?

v1 + v2 +v3 = V

4/3 pi (r1^3 + r2^3 + r3^3) = 4/3 pi R^3

3^3 + 4^3 + 5^3 = R^3

27 + 64 + 125 = R^3

216 = R^3

6cm = R

Thanks