Question

A metallic solid ball of diameter 28cm is melted to form solid cylinders of base radius 7cm and height 9 1/3 cm. Find the number of cylinders so formed.​

Answer 1

Step-by-step explanation:

radius of mettalic ball R = 28/2 = 14cm

radius of cylinder r = 7 cm

height of cylinder h = 9 1/3 = 28/3cm

vol of metallic ball = no. of cylinders × vol of cylinder

4/3πR^3 = n × π r^2 h

pi cancel outs pi

4/3 × 14 ×14×14 = n ×7×7×28/3

8 = n