If the ratio of the curved surface area and volume of right circular cylinder is 5 : 7, then its radius is:
Answer & explanation
Correct answer: option 1
We know that,
Curved surface area of cylinder = 2πrh
Volume of the cylinder = πr2h
Ratio of the curved surface area and volume of a right circular cylinder = 5 ∶ 7
\(\frac{2πrh}{ πr^2h}\) = \(\frac{5}{7}\)
= \(\frac{2}{r}\)= \(\frac{5}{7}\)
= \(\frac{2}{r}\)= \(\frac{5}{7}\)
= r = \(\frac{14}{5}\)= 2.8 units