What is the volume of a conical bucket having bottom and top radii 30 cm and 60 cm and height 1 meter ?

Question

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?

Answer 1

Volume of bucket = [1/3*Pi*(2R)^2*2h] - (1/3*Pi*R^2 h)
where R and 2R are bottom and top radii and height 1 meter.
7/3 Pi R^2 h
= 7/3*22/7*(.3)^2*1
= 0.66 m^3
= 660 litre