Question:
The curved surface area of a right circular cylinder is equal to its volume. Which of the following conditions is true?
एक लम्ब वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल उसके आयतन के बराबर है। निम्नलिखित में से कौन सी स्थिति सत्य है?
Options:
- r = 2
- h = 2r
- r = 0
- h = 3r
- r = 2
- h = 2r
- r = 0
- h = 3r
Correct Answer: a)
Explanation:
Curved surface area = \(2\pi r h\). Volume = \(\pi r^2 h\).
Given \(2\pi r h = \pi r^2 h \implies 2 = r\). Hence, \(r = 2\).
वक्र पृष्ठीय क्षेत्रफल = \(2\pi r h\), आयतन = \(\pi r^2 h\)।
\(2\pi r h = \pi r^2 h \implies r = 2\)।