Question : A sphere is of radius 5 cm. What is the surface area of the sphere?
Option 1: $100 \pi \;\mathrm{cm^2}$
Option 2: $150 \pi \;\mathrm{cm^2}$
Option 3: $200 \pi\;\mathrm{cm^2}$
Option 4: $120 \pi\;\mathrm{cm^2}$
Correct Answer: $100 \pi \;\mathrm{cm^2}$
Solution :
The surface area $A$ of a sphere where $r$ is the radius of the sphere.
$A = 4 \pi r^2$
Substituting $r$ = 5 cm into the formula gives:
$A = 4 \pi (5)^2 = 100 \pi \, \text{cm}^2$
Hence, the correct answer is $100 \pi \, \text{cm}^2$.
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