Mathematics
A solid is in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end. Their common diameter is 3.5 cm and the height of the cylindrical and conical portions are 10 cm and 6 cm respectively. Find the volume of the solid. (Take π = 3.14)
Mensuration
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Answer
The solid in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end is shown in the figure below:
Given,
Common Diameter = 3.5 cm,
Common Radius = = 1.75 cm.
Height of cylindrical part (h1) = 10 cm.
Height of conical part (h2) = 6 cm.
Volume of solid (V) = Volume of cone + Volume of cylinder + Volume of hemisphere
Hence, the volume of the solid is 126.62 cm3.
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