The radius of the base of a cone is 14 cm and its height is 24 cm. Find the volume, curved surface area and the total surface area of the cone.

The volume of two spheres are in the ratio 64 : 27. Find the difference of their surface areas if the sum of their radii is 7 cm.

The radius and height of a right circular cone are in the ratio 4 : 3. and its volume is 2156 cm³. Find the curved surface area of the cone.

Two cylindrical vessels are filled with oil. Their radii are 15 cm and 10 cm respectively and their heights are 25 cm and 18 cm respectively. Find the radius of the cylindrical vessel 33 cm in height which will just contain the oil of the two given vessels.

The ratio of the curved surface area and the total surface area of a circular cylinder is 1:2 and the total surface area is 616 cm². Find its volume.