naidugopalkrishna
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Find the surface area of a sphere with a radius of 7 cm.

Sagot :

GinnyAnswer
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]
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