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cleef6451
27.05.2020 •
Mathematics
The diagram shows a solid shape. The volume of the cone is 270pi cm^3. Work out the volume of the solid shape. Give your answer in terms of pi.
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Ответ:
756π cm^3.
Step-by-step explanation:
Volume of the cone
270π = 1/3 π r^2 h
270π = 1/3 π r^2 * 10
r^2 = 270 / ( 10/3 )
r^2 = 81
r = 9 cm.
So the volume of the hemisphere = 1/2 * 4/3 * π * 9^3
= 486π cm^3.
So the volume of the whole solid = 270π + 486π
= 756 π cm^3.
Ответ: