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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?

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?

The radius of two cylinders are in the ratio 2:3 and their height are in the ratio 5:3. Calculate the ratio of their volume and the ratio of their curved surfaces.

? + ? + ? + ? + ? = 30

You have to fill numbers in place of question marks. The numbers that you can use are 1, 3, 5, 7, 9, 11, 13 and 15. You can repeat the numbers if you like.