Answer the questions below to find the total surface area of the can.

A cylinder with radius 0.75 inches and height 4 inches. A circle with radius 0.75 inches on each side of a rectangle with width 4 inches.
1. The area of each circle is exactly ____ π square inches.
2. There are ____ identical circles in the cylinder.
3. So the total area of all the circles is ____ π square inches.

7 answers

1. The area of each circle is exactly (0.75^2)π = 0.5625π square inches.
2. There are 2 identical circles in the cylinder (one at the top and one at the bottom).
3. So the total area of all the circles is 2 * 0.5625π = 1.125π square inches.
Find the area of the rectangular label.
1. One side of the rectangle is ___ π in.
2. The other side of the rectangle is ____ inches.
3. The area of the rectangle is exactly ____ π square inches.
1. One side of the rectangle is 2*0.75π = 1.5π inches.
2. The other side of the rectangle is 4 inches.
3. The area of the rectangle is 1.5π * 4 = 6π square inches.
The total surface area is exactly ____ π square inches.
The total surface area of the can is the sum of the areas of the two circles (1.125π) and the area of the rectangular label (6π), which is 7.125π square inches.
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