Question

From a solid wooden sphere 13cm radius, a cone with 18cm height and maximum base is made.Calculate the radius of cone and volume of the of the cone​

Answer 1

According to the question....

volume of sphere = volume of cone

= 4/3 πr^3 = π r^2 h/3

= 4/3x π x (13)^3 = π x r^2 x 18 /3

= 4/3 x2197 = r^2 x 18 /3

= 4/3 x 2197 x 3 = r^2 x 18

= 8788 /18 = r^2

= √488.3 = r

this is the required radius of cone

now,

volume of cone

= πr^2 h/3

=π X 488.3x 18/3

= πx 2929.8 cm ^3

Answer.

hope it is helpful..

cheers..!!

Now,