A sphere, a cylinder and a cone as given below figures are of the same radius, whereas cone and cylinder are of same height. Find the ratio of their curved surface areas.

 An industrial metallic bucket is in the shape of the frustum of a right circular cone whose top and bottom diameters are $10 \mathrm{m}$ and $4 \mathrm{m}$ and whose height is $4 \mathrm{m}$. Find the curved and total surface area of the bucket.

For the cylinders $A$ and $B$.

Find out the cylinder whose volume is greater.

For the cylinders $A$ and $B$.

Verify whether the cylinder with greater volume has greater total surface area.

For the cylinders $A$ and $B$.

Find the ratios of the volumes of the cylinders $A$ and $B$.