CBSE Class 10 Maths (Basic) 2026 · Paper 430/3/1 · Question 34(b)
A solid is in the shape of a cylinder with a solid hemisphere attached to one of its ends as shown in the figure.
Let the height and diameter of the cylinder be same (say ). Prove that the volume of the solid shown in the figure is same as the volume of a cone of height and diameter . Also find the total surface area of the solid in terms of .
Answer
The volume of the solid is , which is exactly the volume of a cone of height and diameter , and its total surface area is .
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