The curved surface area and volume of a cylinder are 924 cm² and 9702 cm³, respectively. What is the height of this cylinder?
Answer & explanation
Correct answer: option 3
Curved surface area of cylinder ⇒ 2\(\pi \)rh = 924 cm2
Volume = \(\pi \)r2h = 9702 cm³
\(\frac{volume}{l.s.a.}\) = \(\frac{\pi r^2h }{2\pi rh}\)
⇒ Therefore, \(\frac{9702}{924}\) = \(\frac{r}{2}\)
⇒ r = 21
C.S.A. = 924
⇒ 2\(\pi \)rh = 924
⇒ 2 × \(\frac{22}{7}\) × h × 21 = 924
⇒ h = \(\frac{924 × 7}{2 × 22 × 21}\) = 7 cm