a solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm find the number of balls so formed
Answers
Answered by
1
number of balls=8 (1/3pi6×6×24 ÷4/3pi3cube)
Answered by
5
hiii!!!
here's ur answer...
given the radius of the cone is 12cm and height is 24cm.
volume of the cone = 1/3πr²h
= 1/3×22/7×12×12×24
= 76032/21
= 3801.6cm³
given the diameter of the sphere is 6cm.
therefore radius = 6/2 = 3cm
volume of the sphere = 1/3πr³
= 1/3×22/7×3×3×3
= 594/21cm³
hence, no. of balls can be formed from the cone = 3801.6/1 × 21/594
= 6.4 × 21
= 134.4
134 balls can be formed from the cone.
hope this helps..!!
here's ur answer...
given the radius of the cone is 12cm and height is 24cm.
volume of the cone = 1/3πr²h
= 1/3×22/7×12×12×24
= 76032/21
= 3801.6cm³
given the diameter of the sphere is 6cm.
therefore radius = 6/2 = 3cm
volume of the sphere = 1/3πr³
= 1/3×22/7×3×3×3
= 594/21cm³
hence, no. of balls can be formed from the cone = 3801.6/1 × 21/594
= 6.4 × 21
= 134.4
134 balls can be formed from the cone.
hope this helps..!!
Similar questions