Practice | Hashtable

1. The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.

A. 3 : 7

B. 7 : 3

C. 6 : 7

D. 7 : 6

Solution:

\begin{aligned} \frac{π r^{2} h}{2 π r h} = \frac{924}{264} \\ \Rightarrow r = (\frac{924}{264} \times 2) \\ \Rightarrow r = 7 m \end{aligned}

And,

\begin{aligned} ∴ 2 π r h = 264 \\ \Rightarrow h = (264 \times \frac{7}{22} \times \frac{1}{2} \times \frac{1}{7}) \\ \Rightarrow h = 6 m \end{aligned}

∴ Required ratio :

= \frac{2 r}{h} = \frac{14}{6} = 7 : 3

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