Question

A solid iron cylinder of radius 2*1/2 cm and height 10/3 cm is melted and made into a solid sphere .Find the radius of the sphere

Answer 1

Answer:

Step-by-step explanation:

Volume of cylinder = Volume of sphere

πR^2h = 4/3π r^3

R^2h = 4/3r^3

(5/2)^2 x 10/3 = 4/3r^3

25/4 x 10/4 = r^3

(25 x 5)/ (4 x 2) = r^3

(5^2 x 5)/ (2^2 x 2) = r^3

5^3/ 2^3 = r^3

(5/2)^3 = r^3

r = 5/2 cm = 2.5 cm

Hence Found

Hope it helped...