Question

The sum of the radius of the base of solid cylinder and the height of the cylinder is 15 cm. If the total surface area of these cylinder is $660c{m}^2$, then find the volume of the cylinder.

• A. $1232c{m}^3$
• B. $1256c{m}^3$
• C. $1296c{m}^3$
• D. cannot be determined

Answer 1

The correct option is A $1232c{m}^3$

Given, $r+h=15$cm,

T.S.A$=2\pi r(h+r)=660$

$\Rightarrow 2\pi r\times 15=660$

$\Rightarrow r=\frac{22}{\pi }=7$cm

$\Rightarrow h=8$cm

$\Rightarrow$ Volume$=\pi r^{2}h=\frac{22}{7}\times 7\times 7\times 8$

$\Rightarrow 56\times 22=1232c{m}^3$.