Question

A solid metallic cylinder of diameter 12 cm and height of 15cm is melted and recast into toys each in the shape of a cone of radius 3 cm and 9 cm. Find the number of toys so formed.

Answer 1

Answer:

Step-by-step explanation:

Volume of cylinder = 12 x volume of toy

Volume of cylinder = 12(volume of cone + volume of hemisphere)

πr square h = 12 x (1/3 x π x r1 square x 3 r + 12 x 2/3 x r 1 cube)

r square h =12/3 x r 1 square x 3r + 12 x 2/3 x r 1 cube

r square h = 20 r 1 cube

6 x 6 x 15 = 20 x r 1 cube

r 1 cube = 27

r 1 = 3 cm

h = 3 x r

= 3 x 3

= 9 cm

Radius =  3 cm

height = 9 cm