The radius R of a sphere is 3.5mm. Calculate the sphere's surface area A.
Question
The radius R of a sphere is 3.5mm. Calculate the sphere's surface area A.
Solution
The surface area A of a sphere can be calculated using the formula:
A = 4πR²
where:
- A is the surface area,
- R is the radius of the sphere,
- π is a mathematical constant whose approximate value is 3.14159.
Given that the radius R of the sphere is 3.5mm, we can substitute R = 3.5mm into the formula:
A = 4π(3.5mm)²
Solving the equation:
A = 4 * 3.14159 * (3.5mm)² A = 4 * 3.14159 * 12.25mm² A = 153.93804025mm²
So, the surface area of the sphere is approximately 153.94mm².
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