Question

The sum of the height and the radius of a solid cylinder is 35 cm and its total surface area is 3080 $c{m}^2;$ find the volume of the cylinder.

Answer 1

According to the given conditions

$r+h=35$

$2\pi r^2+2\pi rh=3080$

$2\pi r(r+h)=3080$

$2\pi r\times 35=3080$

$2\times 22/7\times r=88$

$r=14$

$r+h=35$

$h=21$

$V=\pi r^{2}h$

$V=22/7\times {14}^2\times 21$

$V=12936$