Multiple choice

The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm.2, then its volume is एक बेलन के वक्र पृष्ठ क्षेत्रफल और कुल पृष्ठ क्षेत्रफल में अनुपात 1 : 2 है | यदि लम्बवृत्तीय बेलन का कुल पृष्ठीय क्षेत्रफल 616 सेमी.2, तो इसका आयतन है

  1. 1232 cm.3/सेमी.3

  2. 1848 cm.3/सेमी.3

  3. 1632 cm.3/सेमी.3

  4. 1078 cm.3/सेमी.3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a cylinder: CSA = 2πrh, TSA = 2πr(r+h). Given CSA:TSA = 1:2, so 2πrh : 2πr(r+h) = 1:2, giving h : (r+h) = 1:2, thus r = h. With TSA = 616 = 2πr(r+r) = 4πr², we get r = 7. Volume = πr²h = π(7²)(7) = 1078 cm³. Option D matches.

Keep practicing — related questions