Mathematics
In the given figure, a metal container is in the form of a cylinder surmounted by a hemisphere. The internal height of the cylinder is 7 m and the internal radius is 3.5 m. Calculate:
(i) the total area of the internal surface, excluding the base.
(ii) the internal volume of the container in m3.
Related Questions
A spherical shell of lead whose external and internal diameters are 24 cm and 18 cm, is melted and recast into a right circular cylinder 37 cm high. Find the diameter of the base of the cylinder.
A solid wooden toy is in the form of a cone mounted on a hemisphere. The radii of the hemisphere and the base of the cone are 4.2 cm each and the total height of the toy is 10.2 cm. Calculate :
(i) the volume of wood used in the toy
(ii) the total surface area of the toy, correct to two places of decimal.
The adjoining figure represents a solid consisting of a cylinder surmounted by a cone at one end and a hemisphere at the other end. Given that, common radius = 3.5 cm, the height of the cylinder = 6.5 cm and the total height = 12.8 cm, calculate the volume of the solid, correct to the nearest integer.
The adjoining figure represents a solid consisting of a right circular cylinder with a hemisphere at one end and a cone at the other. Their common radius is 7 cm. The height of the cylinder and cone each is 4 cm. Find the volume of the solid.
