Question

Find the volume of a right circular cylinder if the greatest possible distance between any two points on its surface is $\sqrt{193}$ and the area of the circular base of the right circular cylinder is $36\pi$.

• A. $252\pi$
• B. $294\pi$
• C. $343\pi$
• D. $386\pi$

Answer 1

The correct option is A $252\pi$

Area of base $=$ $\pi r^2=36\pi$

$\Rightarrow r^2=36\Rightarrow r=6$ & $d=2r=12$

$\therefore$ Height $=$ $\sqrt{193-144}=\sqrt{49}=7$

Volume $=$ $\pi r^{2}h=\pi \times 6\times 6\times 7=252\pi$