Answer:
C = 132 units
Step-by-step 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