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Papessa
1 month ago
15

the diameter of a cylindrical box of CDs is 5 inches. The height of the box is 4 inches. Whuch measurement is closest to the tot

al surface area of the CD box in square inches
Mathematics
2 answers:
tester [12.3K]1 month ago
7 0
The formula for the surface area of a cylinder is SA = 2 \pi rh+2 \pi r^{2}, where SA represents surface area, r denotes radius, and h signifies height.

To help remember this, consider that the surface area is the entirety of all surfaces of a shape. A cylinder is comprised of two circular ends and a long rectangle forming its body (refer to the image). Therefore, the surface area consists of the area of the two circles (2 \times \pi r^{2}) plus the area of the rectangle (2 \pi r \times h), which has a width of 2<span>πr (the circumference of a circle) and a height of h. 

Returning to the problem:
You know the cylinder's diameter is 5 inches. Remember, diameter equals 2r (twice the radius). Hence, the radius, r = 5/2 = 2.5 inches. The height is given as h = 4 inches. Substituting these values into the surface area formula:
</span>SA = 2 \pi rh+2 \pi r^{2} \\&#10;SA = 2 \pi (2.5)(4)+2 \pi (2.5)^{2}\\&#10;SA \approx 102.1 \: in^{2}
<span>
The surface area amounts to roughly 102.1 square inches.</span>
Svet_ta [12.7K]1 month ago
5 0
To calculate the area, simply multiply 5 by 4, resulting in 20.
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