Question

Use the net to find the surface area of the cylinder. Give answer in terms of pi.

Answer 1

Answer: THIRD OPTION

Step-by-step explanation:

To solve the exercise you must add the area of the circles (which are equal) and the area of the rectangle.

(Multiply the formula of the area of a cylinder by 2, because both are equal)

The area of a circle is:

$A=r^{2}\pi$

Where r is the radius

The area of a rectangle is:

$A=lw$

Where l is the lenght and w is the width.

The lenght of the rectagle is the circumference of the circle:

$l=2r\pi=2*2yd*\pi=4\pi$yd

Then the area of the cylinder is:

 $A=2(2yd)^{2}\pi+(4\pi)(12yd)=56\pi$

Answer 2

Answer:

56$\pi$yd²

Step-by-step explanation:

A=2$\pi rh +2\pi rx^{2}$

=2×$\pi$ × 2yd ×12yd +2×$\pi$×2yd×2yd

=48$\pi$ yd² + 8$\pi$yd²

=56 $\pi$yd²