Question

The total surface area of a cylinder is 6512 $c{m}^2$ and the circumference of its base is 88 cm. Find its height.

• A. 65 cm
• B. 60 cm
• C. 50 cm
• D. 68 cm

Answer 1

The correct option is B

60 cm

Circumference of its base = 88 cm

$\Rightarrow$ $2\pi r$ = 88

$\Rightarrow$ 2 x $\frac{22}{7}$ x r = 88

$\Rightarrow$ r = 14 cm

TSA of a cylinder is 6512 $c{m}^2$

$\Rightarrow$ $\left(2\pi r^2\right)+\left(2\pi rh\right)$ = 6512

$\Rightarrow$ (2 x $\frac{22}{7}$ x 14 x 14 ) + 88h = 6512

$\Rightarrow$ 1232 + 88h = 6512

$\Rightarrow$ h = $\frac{6512-1232}{88}$ = 60 cm