A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 7 cm and the height of the cone is equal to its diameter. Find the volume of the solid.[Use=227]
Let r and h be radius and height of the cone respectively.
Radius of cone (r) = 7 cm (Given)
Diameter of cone = 2×r=(2×7)cm=14cm
According to the question, height of the cone is equal to its diameter
∴ Height of cone (h) =14 cm
Radius of hemisphere =Radius of cone =7 cm
∴ Volume of soild =Volume of cone +Volume of hemisphere
Thus, the volume of the solid is 1437.33 cm3.