A hollow sphere of internal and external diameters 4 cm and 8 cm respectively, is melted into a cone of base diameter 8 cm. Find the height of the cone.
Mensuration
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Question

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively, is melted into a cone of base diameter 8 cm. Find the height of the cone.

KnowledgeBoat · Accepted Answer

For sphere, Internal radius (r) = = 2 cm, External radius (R) = = 4 cm. For cone, Base radius (r₁) = = 4 cm Height = h. Since, the hollow sphere is recasted into cone hence their volume will be equal. Multiplying both sides by 3 and dividing by π we get, Hence, the height of the cone = 14 cm.

Mathematics

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively, is melted into a cone of base diameter 8 cm. Find the height of the cone.

Mensuration

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