Question
Download Solution PDFA sphere of radius 12 cm is melted and re-casted into a right circular cone of height 12 cm. The radius of the cone is.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of sphere = 12 cm
Height of cone = 12 cm
Formula:
Volume of cone = (1/3) × πr2h
Volume of sphere = (4/3) × πr3
Calculation:
Let radius of the cone be r cm
According to the question
(1/3) × π × r2 × 12 = (4/3) × π × 12 × 12 × 12
⇒ r2 = 12 × 12 × 4
⇒ r = 12 × 2
∴ r = 24 cmLast updated on Jun 19, 2025
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