How many metallic balls of radius 1 cm can be recast by melting a metallic sphere of radius 8 cm?

Answer

3.14 cm

Explanation

Radius of metallic ball = 1cm
Volume of one ball = `(4)/(3)pi(1^(3))=(4)/(3)picm^(3)`
Radius of sphere=8cm
Volume of sphere=`(4)/(3)pi(8)^(3)cm^(3)`
Now the numebr of metallic balls =`("volume of sphere")/("volume of one ball")=((4)/(3)pi(8)^(3))/((4)/(3)pi)=(8)^(3)=512`