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?
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.
The units are SI of course
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?
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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?
4 solid spheres of radius 1 m, 2 solid cylinders of radius 4 m, height 2 meter and 1 solid cone 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?
A sphere of radius 3 m is melted to form a cylinder and a cone of equal weights and heights. Find the ratio of radii of cylinder and cone.
