A metallic sphere of radius 10.5 cm is melted and then recast into smaller cones, each of radius 3.5 cm and height 3 cm. How many cones are obtained ?

Answer

126

Explanation

Volume of metallic sphere `= ((4)/(3)pi xx (21)/(2) xx (21)/(2) xx (21)/(2)) cm^(3) = ((3087pi)/(2)) cm^(3)`
VOlume of 1 smaller cone `= ((1)/(3)pi xx (7)/(2) xx (7)/(2)xx 3) cm^(3) =((49pi)/(4)) cm^(3)`
Number of cones `= ("volume of sphere")/("volume of 1 cone")`