Question

from a solid wooden sphere with 13 cm radius a cone with 18 cm height and maximum base is made. calculate the radius of the cone​

Answer 1

The radius of the cone is 22.1 cm

Step-by-step explanation:

The cone was made using the sphere with a radius of 13 cm

Thus, the volume of the cone  = Volume of the sphere

                                    (πr^2 h)/3=4/3 π〖r'〗^3……………(1)

Here, r is radius of the cone, r’ is radius of the sphere, h is height of the cone

Given:

r’ = 13 cm

h = 18 cm

Substituting these values in the Eq. 1

                               (πr^2×18)/3=4/3 π13^3

Diving by π/3 on both sides

                                      18 r^2  = 4×13^3

    18 r^2 = 8788

     r^2    = 488.22

    r = sq rt 488.22

Thus;

    r = 22.1 cm

The radius of the cone is 22.1 cm