The curved surface area of a cylindrical pillar is 264 $m^2$ and its volume is 924 $m^3$. Find the ratio of its diameter to its height.
3 : 7
7 : 3
6 : 7
7 : 6
Explanation:
$\dfrac{\pi r^2 h}{2 \pi rh} = \dfrac{924}{264} => r = (\dfrac{924}{264} \times 2) = 7 m.$
And, $2 \pi rh = 264 => h = (264 \times \dfrac{7}{22} \times \dfrac{1}{2} \times \dfrac{1}{7}) = 6 m.$
ஃ Required ratio = $ \dfrac{2r}{h} = \dfrac{14}{6} = 7 : 3.$
$\dfrac{\pi r^2 h}{2 \pi rh} = \dfrac{924}{264} => r = (\dfrac{924}{264} \times 2) = 7 m.$
And, $2 \pi rh = 264 => h = (264 \times \dfrac{7}{22} \times \dfrac{1}{2} \times \dfrac{1}{7}) = 6 m.$
ஃ Required ratio = $ \dfrac{2r}{h} = \dfrac{14}{6} = 7 : 3.$