A Bolid in a cylinder Surmounted - A
by a cone find the destia In the
height of the cylinder and the
cone, Af the volume of the cylinder
la bow the times the volume
alg the cone.
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Answer:
The height of the cone is h
Let the height of the cylinder be x .
Volume of the total solid = 3 × volume of the cone
(Volume of circular cylinder + volume of right circular cone) = 3 × volume of the cone
πr²h + 1/3πr²h = 3 × (1/3πr²h)
πr²x + 1/3πr²h = πr²h
πr²x = πr²h - 1/3πr²h
πr²x = (3πr²h - 1πr²h)/3
πr²x = 2/3πr²h
x = ⅔ h
Height of the cylinder = ⅔ h
Hence, the height of the cylinder is ⅔ h.
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