Question

Find the height of a cylinder if its total surface area is 2552 $c{m}^2$ and the radius is 14 cm.

• A. 13 cm
• B. 16 cm
• C. 15 cm
• D. 14 cm

Answer 1

The correct option is C 15 cm

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

$2552=2\times \frac{22}{7}\times 14(14+h)$

$\frac{2552\times 7}{2\times 22\times 14}=14+h$

$h=15cm$