Question

How much wrapping paper (sq. in) will be required to wrap a closed cylindrical box of given dimensions.

• A. 207.24 sq. in
• B. 263.76 sq. in
• C. 273.76 sq. in
• D. 313.56 sq. in

Answer 1

The correct option is B 263.76 sq. in

On opening the cylinder and visualizing it we get:
Here,
Diamter of cylinder = 6 in
$\therefore \text{Radius (r) =}\frac{6}{2}$
= 3 in

Height of cylinder (h) = 11 in

The amount of wrapping paper required for the cylinder is equal to its surface area.

$\text{Surface area of cylinder =}2\pi r^2+2\pi rh$
$=(2\times 3.14\times 3^2)+(2\times 3.14\times 3\times 11)$
$=56.52+207.24$
$=263.76\text{sq. in}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ∴ Amount of wrapping paper required is 263.76 sq. in