Question

Find the surface area

Answer 1

The surface area is 188.4 m²


1.) First find the area of the circle.
A = πr²
A = 3.14 (3)²
A = 3.14 (9)
A = 28.26 m²

2.) Find the area of the other circle. We need to multiply the radius (3 m) by 2 to solve for the circumference.
3 * 2 = 6 m

3.) Now solve for the circumference of the second circle.
C = πd
C = 3.14 (6)
C = 18.84 m

4.) Find the area of the rectangle. The net of a cylinder includes two circles and a rectangle.

(The circumference that was solved was for us find the area of the rectangle. We only had 7 m for one of the dimensions of the rectangle.)

Now we have 18.84 m as the length of the rectangle and 7 m as the width.
A = lw
A = 18.84 (length) * 7 (width)
A = 131.88 m²

5.) Add the area of the circle two times with the area of the rectangle.
28.26 + 28.26 + 131.88 = 188.4 m²


I hope this helps. Im not good at explaining things, especially about math :’)