Question

3)A cone i8.4cm high and the radiu sof its base is 2.1cm.It is melted and recastin to a sphere.Find the radius of the sphere

Answer 1

Answer:

VERIFIED ANSWER ‼️

Volume of cone = Volume of sphere

Volume of cone = Volume of sphere 1 / 3π(2.1)2 × 8.4 = 4 / 3 πr3

Volume of cone = Volume of sphere 1 / 3π(2.1)2 × 8.4 = 4 / 3 πr3 ⇒ r3 = (2.1)2 × 8.4 / 4 = (2.1)3

Volume of cone = Volume of sphere 1 / 3π(2.1)2 × 8.4 = 4 / 3 πr3 ⇒ r3 = (2.1)2 × 8.4 / 4 = (2.1)3⇒ r = 2.1 cm

Volume of cone = Volume of sphere 1 / 3π(2.1)2 × 8.4 = 4 / 3 πr3 ⇒ r3 = (2.1)2 × 8.4 / 4 = (2.1)3⇒ r = 2.1 cm ∴ Radius of the sphere = 2.1 cm