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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.

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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.

This problem has been solved

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