A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4cm and diameter of the base is 8cm. Determine the volume
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Answer:
200.9599 cm^3
Step-by-step explanation:
Diameter of the base of the cone = 8 cm
Radius = 8/2 = 4 cm
Therefore as the hemisphere is connected to its bottom and thus,
Radius of hemisphere = 4 cm
Volume of toy = [volume of the hollow hemisphere] + [Volume of the Cone]
Volume (Hemisphere) = 2/3 π (r)^3
==> 2/3 x 3.14 x (4)^3
==> (6.28 x 64) / 3
==> 133.973 cm^3
Volume of the cone = 1/3 (π.r^2.h)
==> 1/3 x 3.14 x (4)^2 x 4
==> 1/3 x 3.14 x 64
==> 1/3 x 200.96
==> 66.9866 cm^3
Volume of toy = [volume of the hollow hemisphere] + [Volume of the Cone]
Volume of toy = 133.973 + 66.9866
Volume of toy = 200.9599 cm^3
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