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. The height of the cone is
A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The height of the cone is
Updated On: Jan 30, 2025
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The Correct Option is B
Solution and Explanation
The correct option is (B):Internal and External radius of sphere are 2 cm and 4 cm
radius of cone = 4 cm.
Let height of cone =\(h\) cm
Volume of hollow sphere = Volume of cone
\(\frac{4}{3} \pi [( r1)^{3} - (r2)^{3}]=\frac{1}{3} \pi R^{2}h\)
\(4[(4)^{3} - (2)^{3}]=4^{2}h \)
\(h = 14cm\)
radius of cone = 4 cm.
Let height of cone =\(h\) cm
Volume of hollow sphere = Volume of cone
\(\frac{4}{3} \pi [( r1)^{3} - (r2)^{3}]=\frac{1}{3} \pi R^{2}h\)
\(4[(4)^{3} - (2)^{3}]=4^{2}h \)
\(h = 14cm\)
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