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MATHEMATICS

JAMB 2009 - Question 29

Mathematics 2009 JAMB Past Questions - Question 29: Find the radius of a sphere whose surface area is 154cm².

Find the radius of a sphere whose surface area is 154cm².

A: 7.00cm²

B: 3.50cm²

C: 3.00cm²

D: 1.75cm²

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Correct Answer

Explanation

The surface area of a sphere is given by the formula:Surface Area = 4πr²where r is the radius of the sphere.Given that the surface area is 154 cm², we can set up the equation:154 = 4πr²To find the radius, we need to isolate r. Divide both sides of the equation by 4π:154 / (4π) = r²r² = 154 / (4π)r² ≈ 12.27Taking the square root of both sides, we find:r ≈ √12.27r ≈ 3.50 cmTherefore, the radius of the sphere is approximately 3.50 cm.