The surface area of this hemisphere is 1062 cm^2. what is its radius? please help me calculate this step by step
To find the radius of a hemisphere given its surface area, you can follow these steps:
Step 1: Recall the formula for the surface area of a hemisphere:
Surface Area = 2πr^2
Step 2: Substitute the given surface area into the formula:
1062 cm^2 = 2πr^2
Step 3: Simplify the equation by dividing both sides by 2π:
1062 cm^2 / 2π = r^2
Step 4: Calculate the value on the left side of the equation using a calculator:
r^2 ≈ 169.646
Step 5: Take the square root of both sides to find the value of r:
r ≈ √169.646
Step 6: Use a calculator to find the approximate value of the square root:
r ≈ 13.021
Therefore, the radius of the hemisphere is approximately 13.021 cm.
a sphere has area 4πr^2. You have half a sphere, so just solve for r in
2πr^2 = 1062
r^2 = 1062/2π
...