NumericalHard4 marks
The following figure represents a solid consisting of a right circular cylinder with a hemisphere at one end and a cone at the other. Their common radius is 7 cm. The height of the cylinder and cone are each of 4 cm. Find the volume of the solid.
Topic: Mensuration of solids
Previous-year question practice database
Answer
Exam answer
r=7 cm. Cylinder height = 4 cm. Cone height = 4 cm.
Total volume = hemisphere + cylinder + cone = (2/3)πr³ + πr²(4) + (1/3)πr²(4) = 490π.
Using π=22/7: V = 1540 cm³.
Answer: 1540 cm³.
Explanation
Add the volumes of the hemisphere, cylinder and cone.
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