4158 cm2. Find the diameter of the hemisphere.

To find the diameter of the hemisphere, we can use the formula for the surface area of a hemisphere, which is given by:

SA = 2πr^2

where SA is the surface area and r is the radius of the hemisphere.

In this case, we are given the surface area as 4158 cm^2. So we can set up the equation as follows:

4158 = 2πr^2

To solve for r, we can divide both sides of the equation by 2π:

4158 / (2π) = r^2

Now, we can take the square root of both sides to find the value of r:

√(4158 / (2π)) = r

Using a calculator, we can evaluate this expression to find the value of r. Let's assume that r is approximately equal to 18.23 cm.

Finally, to find the diameter of the hemisphere, we can multiply the radius by 2:

diameter = 2 * r = 2 * 18.23 cm = 36.46 cm

Therefore, the diameter of the hemisphere is approximately 36.46 cm.