# 11 spheres of radius 3 m, 9 cylinder of radius 4 m, height 5 m and 13 cones of radius 2 m, height 4 m are melted...

37 views

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?

posted May 18

## 2 Solutions

Total volume of the bigger sphere = [volume of 11 smaller spheres] + [volume of 9 cylinders] + [Volume of 13 cones].
(4/3)*π*r^3 = [11*(4/3)*π*(3)^3] + [9*π*(4)^2*5] + [13*π*(2)^2*4/3]
(4/3)*π*r^3 = [1244.07] + [2261.97] + [216.71]
(4/3)*π*r^3 = 3722.75
r = 9.61 meter.

solution May 23

The units are SI of course

solution May 25

Similar Puzzles

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?

+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?