Question
Download Solution PDFIf a right circular cone of height 24 cm has the circumference of its base 42 π cm, then the volume of the cone is (use π =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The height of a cone = 24 cm , circumference of its base 42 π cm.
Formula used:
The volume of a cone = 1/3 area of the base × height
Circumference of its base = 2π × radius(r)
Calculation:
As per the question,
⇒ 2πr = 42 π
⇒ r = 21 cm
The volume of the cone will be,
⇒ 1/3 π × 21 × 21 × 24
⇒ 1/3 × 22/7 × 21 × 21 × 24 = 11088 cm3
∴ The correct option is 2
Last updated on Jul 10, 2025
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