Question
Download Solution PDFA lead hemisphere of radius 7 cm is molded into a cone whose base diameter is 14 cm. Find the height of the cone.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of hemisphere = 7 cm
Diameter of cone = 14 cm
Formula Used:
Volume of hemisphere = 2/3 × πR3
Volume of cone = 1/3 × πr2h
Calculation:
⇒ 2/3 × πR3 = 1/3 × πr2h
⇒ 2/3 × π73 = 1/3 × π72h
⇒ 2 × 73 = 1 × 72h
⇒ h = 14
The answer is 14 cm.
Last updated on Jun 12, 2025
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