Calculate the surface area of a sphere whose diameter is 50 cm.
Surface area of sphere = 4πr^2
sub in r=25
I came up with 7831.25cm is this correct
I get 7853.98 using the π on my calculator.
To calculate the surface area of a sphere, you can use the formula:
Surface Area = 4πr²
Where:
- "Surface Area" represents the total area that covers the sphere.
- "π" (pi) is a mathematical constant approximately equal to 3.14159.
- "r" is the radius of the sphere.
In this case, we need to find the surface area of a sphere with a diameter of 50 cm. To do this, we first need to find the radius of the sphere by halving the diameter:
Radius = Diameter / 2
So, the radius is 50 cm / 2 = 25 cm.
Now, substitute the value of the radius into the formula:
Surface Area = 4π(25)² = 4π(625) ≈ 2500π
Since π is an irrational number, we usually keep it in the formula rather than converting it to a decimal approximation. Therefore, the surface area of the given sphere is approximately 2500π cm².