Find the surface area of a sphere with a radius of 10 meters. Leave your answer in terms of pi
show work/steps
1.400 pi m^2
2.300 pi m^2
3.200 pi m^2
4.500 pi m^2
The surface area of a sphere is given by the formula A = 4πr^2, where A is the surface area and r is the radius.
Plugging in the given radius of 10 meters, we have:
A = 4π(10^2)
A = 4π(100)
A = 400π
Therefore, the surface area of the sphere is 400π square meters.
So, the correct answer is 400 pi m^2, which is not one of the given options.
show work how to solve it
To find the surface area of a sphere with a radius of 10 meters, we can use the formula for the surface area of a sphere, A = 4πr^2.
First, substitute the given radius into the formula:
A = 4π(10^2)
Next, simplify the expression inside the parentheses:
A = 4π(100)
Multiply 4π by 100:
A = 400π
The surface area of the sphere is 400π square meters.
no A=pir^2
Apologies for the mistake. You are correct, the formula for the surface area of a sphere is A = 4πr^2.
Given that the radius is 10 meters, we can substitute this value into the formula:
A = 4π(10)^2
Simplifying the expression inside the parentheses:
A = 4π(100)
Multiply 4π by 100:
A = 400π
Hence, the surface area of the sphere is 400π square meters.