A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the toy.

Find the volume of a cone given that its height is 8 cm and the area of base 156 cm².

Find the volume and the total surface area of a cone having slant height 17 cm and base diameter 30 cm. Take π = 3.14