The curved surface area and volume of a cylinder are 660 cm² and 1650 cm³, respectively. What is the height of this cylinder?
Answer & explanation
Correct answer: option 3
Curved surface area of cylinder ⇒ 2\(\pi \)rh = 660 cm2
Volume = \(\pi \)r2h = 1650 cm2
\(\frac{volume}{l.s.a.}\) = \(\frac{\Pi r^2h }{2\Pi rh}\)
⇒ Therefore, \(\frac{1650}{660}\) = \(\frac{r}{2}\)
⇒ r = 5
C.S.A. = 660
⇒ 2\(\pi \)rh = 660
⇒ 2 × \(\frac{22}{7}\) × h × 5 = 660
⇒ h = \(\frac{660 × 7}{2 × 22 × 5}\) = 21 cm