Question
Download Solution PDFA hemisphere of lead of radius 4 cm is cast into a right circular cone of height 72 cm. What is the radius of the base of the cone?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A hemisphere of lead of radius 4 cm is cast into a right circular cone of height 72 cm.
Concept used:
1. Volume of hemisphere =
2. Volume of a cone =
3. The volume of the hemisphere must be equal to the volume of the cone.
Calculation:
The volume of the hemisphere =
Let the radius of the base of the right circular cone be R cm.
According to the concept,
⇒ R2 = 16/9
⇒ R = 4/3
⇒ R ≈ 1.33
∴ The radius of the base of the cone is 1.33 cm.
Last updated on Jul 14, 2025
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