# 5 spheres of radius 2 m, 7 cylinder of radius 3 m, height 7 m and 4 cones of radius 5 m, height 8 m are melted..

64 views

5 solid spheres of radius 2 m, 7 solid cylinder of radius 3 m, height 7 meter and 4 solid cones of radius 5 m, height 8 m are melted to form a bigger solid sphere. What is the radius of this bigger solid sphere in meters?

posted Jun 22, 2017

8.29 m

4/3pir^3=5[4/3pi(2)^3]+7[pi(3)^2(7)]+4[1/3pi(5)^2(8)]
by solving this we will get r^3=570.1 m3
Then r=8.29 m

Similar Puzzles

11 solid spheres of radius 3 m, 9 solid cylinder of radius 4 m, height 5 meter and 13 solid cones of radius 2 m, height 4 m are melted to form a bigger solid sphere. What is the radius of this bigger solid sphere in meters?

2 solid spheres of radius 3 m, 3 solid cylinder of radius 2 m, height 3 meter and 2 solid cones of radius 2 m, height 4 m are melted to form a bigger solid sphere. What is the radius of this bigger solid sphere in meters?

+1 vote

A metal cylinder of base 5 cm and height 12 cm is melted to make n solid cones of height 1 cm and base radius 1 mm.
What is the value of n?