Question
Download Solution PDFThe radius and height of a cylinder are in the ratio 7 ∶ 13 and its volume is 6006 cm3. Its radius will be:
(Use π =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The radius and height of a cylinder are in the ratio 7:13, and its volume is 6006 cm³.
π = 22⁄7
Formula used:
Volume of a cylinder = πr²h
Calculation:
Let the radius be 7x and the height be 13x.
Volume = πr²h
⇒ 6006 = (22⁄7) × (7x)² × 13x
⇒ 6006 = (22⁄7) × 49x² × 13x
⇒ 6006 = (22 × 49 × 13)⁄7 × x³
⇒ 6006 = 2002x³
⇒ x³ = 6006 ÷ 2002 = 3
⇒ x = ∛3
Now, radius = 7x = 7 × ∛3 = 7 × 3
∴ The correct answer is 7 × 3
Last updated on Jul 15, 2025
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