A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 7cm and the height of the cone is equal to its diameter. Find the volume of the solid. [Use π=22/7]
Solution:
Given: radius=7cm, height=14cm Volume of hemisphere = (2/3)πr³ = (2/3) × (22/7) × 7³ = 718.66cm³ Volume of cone = (1/3)πr²h = (1/3) × (22/7) × 7² × 14 = 718.66cm³ Total volume = Volume of hemisphere + Volume of cone = 718.66 + 718.66 = 1437.32cm³