. The adjoining figure shows a hemisphere of radius 5 cm
surmounted by a right circular cone of base radius 5 cm. Find
the volume of the solid if the height of the cone is 7 cm. Give
your answer correct to two places of decimal.
Answers
Answer: the adjoining figure has a hemisphere and a cone
we have to find the volume of whole adjoining figure
so first for hemisphere measurements are
radius = 5 cm
now for cone measurements are
radius = 5 cm and height (h) = 7 cm
now for total volume of figure = volume of cone + volume of hemisphere
=> 1/3πr^2 x h + 2/3πr^2
=> 1/3 x 22/7 x 5 x 5 x 7 + 2/3 x 22/7 x 5 x 5
=> 22/3 x 25 + 44/21 x 25
=> 550/3 + 1100/21
=> 11550 + 3300/63
=> 14850/63
=> 235.71 cm^3 = final answer