Question

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

Answer 1

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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