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Question
A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them is being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid. (Use π = 22/7).
Solution
We have,
r1 = radius of the cone = 3.5 cm
h1 = height of the cone = 9.5 - 3.5 = 6 cm
r2 = radius of the hemisphere = 3.5 cm
∴ Volume of the solid = Volume of the cone +Volume of the hemisphere
`= 1/3pir_1^2h_1+2/3pir_2^3`
`=1/3pixx(3.5)^2x6+2/3pixx(3.5)^3`
`=(1/3xx22/7xx73.5+2/3xx22/7xx42.87)`
= 77 + 8.9.82
= 166.82 cm3
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