Question

a cone of height 24cm and radius of base 6 cm is made up of A modelling clay find the volume of cone

Answer 1

Answer:

Step-by-step explanation:

Height of cone=24

Radius= 6 cm

Vol of cone=1/3πr^ 2 h

=1/3π x 6^2 x 24

=1/3π x 36 x 24

=288πcm^3

Let the vol of sphere : 4/3π^3

Vol of sphere=Vol of cone

4/3π^3=288π

4/3^3=288

r^3=288 x 3/4

r^3=72 x 3

r^3=8 x 9 x 3

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

r=(2 x 2 x 2 x 3 x 3 x 3)1/3

r=(2 x 2 x 2)1/3  x (3 x 3 x 3)1/3

r=(2^3)1/3 x (3^3)1/3

r=2 x 3

r=6 cm