Q8 of 44 Page 14

The internal and external diameters of a hollow hemispherical shell are 6cm and 10cm respectively. It is melted and recast into a solid cone of base diameter 14cm. Find the height of the cone so formed.

Given:


Internal Diameter of a hollow hemispherical shell = 6cm


So, internal radius, (r) = 3cm


External Diameter of a hollow hemispherical shell = 10cm


So, external radius (R) = 5cm





Given that diameter of cone =14cm


So, radius = 7cm




According to the question.


Volume of a shell = Volume of a cone



⇒


⇒ h = 4cm


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