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A football has a radius of 8 cm. What is the surface area of the football?

[tex]\[ \text{Surface area of a sphere} = 4 \pi r^2 \][/tex]

Use [tex]\( \pi = 3.14 \)[/tex]

Surface area: __________ cm²



Answer :

Sure, let's solve the problem step-by-step.

1. Identify the given data:
- Radius (r): 8 cm
- π (pi): 3.14

2. Recall the formula for the surface area of a sphere:
[tex]\[ \text{Surface area} = 4 \pi r^2 \][/tex]

3. Substitute the given values into the formula:
[tex]\[ \text{Surface area} = 4 \times 3.14 \times (8)^2 \][/tex]

4. Calculate the square of the radius:
[tex]\[ (8)^2 = 64 \][/tex]

5. Multiply the constants and the square of the radius:
[tex]\[ 4 \times 3.14 \times 64 \][/tex]

6. Perform the multiplication:
[tex]\[ 4 \times 3.14 = 12.56 \][/tex]
[tex]\[ 12.56 \times 64 = 803.84 \][/tex]

Therefore, the surface area of the football is [tex]\( 803.84 \, \text{cm}^2 \)[/tex].