The metal sphere of radius 2.1 cm is melted and recast to form a cone of height 8.4 cm . Find the radius of the cone
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Given a metallic sphere of radius 2.1 cm ,is melted and recasted into a cone of height 8.4 cm.
TO FIND: Radius of cone.
Step-by-step explanation:
If the metallic sphere is melted and recasted into a cone, then volume of sphere is equal to that of cone;
⇒4/3 x 22/7 x r x r x r = 1/3 x 22/7 x r₁² x h
⇒4 x 2.1 x 2.1 x 2.1 = 8.4 x r₁²
⇒(2.1)² = r₁²
⇒r₁ = 2.1
Or, the radius of the cone is 2.1 cm.
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