Mathematics
A cone of maximum volume is carved out of a block of wood of size 20 cm × 10 cm × 10 cm. Find the volume of the cone carved out, correct to one decimal place.
Related Questions
From a circular cylinder of diameter 10 cm and height 12 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the volume and the whole surface of the remaining solid. Leave the answer in π
From a cube of edge 14 cm, a cone of maximum size is carved out. Find the volume of the cone and of the remaining material, each correct to one place of decimal.
From a solid wooden cylinder of height 28 cm and diameter 6 cm, two conical cavities are hollowed out. The diameters of the cones are also of 6 cm and height 10.5 cm. Find the volume of the remaining solid.

Find the volume and surface area of a sphere of radius :
(i) 10.5 cm
(ii) 4.2 cm