A metallic sphere of radius 10.5 cm is melted and thus recast into sma

1.	A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.
Answer» Volume of a sphere = \(\frac{4}{3}\)πr³ Volume of a cone = \(\frac{1}{3}\)πr²h Given, metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Let the number of cones be ‘n’. ⇒ n × (1/3)π × 3.5² × 3 = (4/3) × π × 10.5³ ⇒ n = 126

A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.

Answer»

Volume of a sphere = \(\frac{4}{3}\)πr³

Volume of a cone = \(\frac{1}{3}\)πr²h

Given,

metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm.

Let the number of cones be ‘n’.

⇒ n × (1/3)π × 3.5² × 3 = (4/3) × π × 10.5³

⇒ n = 126