The total surface area of hemisphere is 4158sq then what is the circumference of the base
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C = 132 units

Explanation:

Given the following data;

TSA of hemisphere = 4158 sq units

To find the circumference of the base;

Mathematically, the total surface area of a hemisphere is given by the formula;

TSA of hemisphere = 3πr²

First of all, we would determine the radius of the hemisphere.

4158 = 3 * 22/7 * r²

Cross-multiplying, we have;

4158 * 7 = 3 * 22 * r²

29106 = 66r²

r² = 29106/66

r² = 441

Taking the square root of both sides, we have;

r = √441

r = 21 units

Next, we determine the circumference of the base using the same radius;

Circumference of circle, C = 2πr

C = 2 * 22/7 * 21

C = 924/7

C = 132 units

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