Sure! Let's find the surface area of a sphere with a radius of 7 cm.
The formula for calculating the surface area [tex]\( A \)[/tex] of a sphere is given by:
[tex]\[ A = 4 \pi r^2 \][/tex]
where:
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14159,
- [tex]\( r \)[/tex] is the radius of the sphere.
Given:
- Radius, [tex]\( r \)[/tex] = 7 cm
Step-by-step solution:
1. First, square the radius:
[tex]\[ r^2 = 7^2 = 49 \ \text{cm}^2 \][/tex]
2. Multiply the squared radius by 4:
[tex]\[ 4 \times 49 = 196 \][/tex]
3. Finally, multiply the result by [tex]\( \pi \)[/tex]:
[tex]\[ 196 \times \pi \approx 196 \times 3.14159 \approx 615.7521601035994 \][/tex]
Therefore, the surface area of the sphere is approximately:
[tex]\[ 615.75 \ \text{cm}^2 \][/tex]
