Mathematics
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.
Related Questions
Some lead spheres, each of diameter 6 cm, are dropped into a beaker containing some water and are fully submerged. The diameter of the beaker is 18 cm. Calculate, the number of lead spheres dropped into it, if the water level rises by 40 cm.
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.
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.
