Question
Download Solution PDFA cone and a cylinder with equal radii have equal volumes. The ratio of their heights is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A cone and a cylinder with equal radii have equal volumes.
Formula used:
Volume of cylinder = πr2h ( r = radius, h = height)
Volume of cone = 1/3 πr2h ( r = radius, h = height)
Calculation:
Let the height of the cylinder is h1
Then the height of the cone is h2
As per the question,
⇒ πr2 h1= 1/3 πr2h2
h2 : h1 = 3 : 1
∴ The correct option is 4
Last updated on Jun 11, 2025
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