Question

the diameter of a metallic sphere is 4.2 cm.it is melted and recast into a right circular cone of height 8.4 cm.find the radius of the base of the cone

Answer 1

Answer:

2.1 cm

Explanation:

Given The diameter of a metallic sphere is 4.2 cm.it is melted and recast into a right circular cone of height 8.4 cm.find the radius of the base of the cone

Now we know that radius = d/2 = 4.2/2 = 2.1

height of cone is 8.4 cm

We know that volume of cone  = 1/3 π r^2 h

                       volume of sphere = 4/3 π r^3

Now volume of cone is equal to volume of sphere

                   1/3 π r^2 h = 4/3 π r^3

                  22 x 8.4 x r^2 / 21 = 88 x (2.1)^3 / 21

                184.8 r^2 = 814.968 / 184.8

                    r^2 = 4.41

               r = 2.1 cm

Radius of the base of the cone is 2.1 cm

Answer 2

Answer:

2.1cm will be the correct answer hope it helps you