Question

Mary is wrapping a can of paint to gift it to a friend. If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will be used?

• A. $319inc{h}^2$
• B. $354inc{h}^2$
• C. $289inc{h}^2$
• D. $335inc{h}^2$

Answer 1

The correct option is A $319inc{h}^2$

Given, diameter (d) = 7 inches
So, radius (r) = 3.5 inches
Height (h) = 11 inches

Total surface area of the can
= $2\pi r^2+2\pi rh$
$=(2\times 3.14\times 3.5\times 3.5)+(2\times 3.14\times 3.5\times 11)$
= $(77+242)inc{h}^2$
= $319inc{h}^2$

Therefore, we need 319 inch${}^2$ of wrapping paper to wrap the can of paint.