A solid right circular cone has a diameter of 14cm and height 24cm.

1.	A solid right circular cone has a diameter of 14cm and height 24cm.
Answer» Given: the right circular cone has a diameter of 14 cm and height = 4 cm=>diameter of the right circular cone=(14 / 2 )cm=7 cm. This right circular cone is melted and moulded into a hollow hemisphere ,the hollow hemisphere has an external diameter of 10 cm. =>radius=5 cm Let the inner radius of the melted or the resulting hemisphere be 'r' cm. ∴Volume of the cone=Volume of the hollow hemisphere =>π×7²×4/3=2π(5³-r³)/3=>r=4.14 cm ∴Its internal diameter=8.28 cm And its total curved surface area={(2×π×7²)+(2×π×4.14²)}=415.35 cm² thanks I will sent more questions

Answer»

Given: the right circular cone has a diameter of 14 cm and height = 4 cm=>diameter of the right circular cone=(14 / 2 )cm=7 cm.

This right circular cone is melted and moulded into a hollow hemisphere ,the hollow hemisphere has an external diameter of 10 cm.

=>radius=5 cm

Let the inner radius of the melted or the resulting hemisphere be 'r' cm.

∴Volume of the cone=Volume of the hollow hemisphere

=>π×7²×4/3=2π(5³-r³)/3=>r=4.14 cm

∴Its internal diameter=8.28 cm

And its total curved surface area={(2×π×7²)+(2×π×4.14²)}=415.35 cm²

thanks I will sent more questions

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