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

Question

Papessa

9 days 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 [11.9K] · Answer 1 · 2026-03-31T18:03:33+03:00

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> $SA = 2 \pi rh+2 \pi r^{2} \\
SA = 2 \pi (2.5)(4)+2 \pi (2.5)^{2}\\
SA \approx 102.1 \: in^{2}$
<span>
The surface area amounts to roughly 102.1 square inches.</span>

Svet_ta [12.2K] · Answer 2 · 2026-03-31T18:03:43+03:00

Svet_ta [12.2K]9 days ago

5 0

To calculate the area, simply multiply 5 by 4, resulting in 20.