Question

the total surface area of solid right circular cylinder is 660cm2 . if the diamrter of its base is 14cm,find the height.

Answer 1

TSA of a cylinder
$= 2\pi \times r(r + h)$
$= 2 \times \frac{22}{7} \times 7(7 + h) = 660$
$= 308 + 44h = 660 \\ 660 - 308 = 44h$
$352 = 44h$
$h = \frac{352}{44}$
$h = 8$
so height of the cylinder is 8 cm