What is the surface area of a sphere with a radius of 4 m rounded to the square nearest meter? 50 m, 100 m 201 m or 268 m
The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius of the sphere. Substituting r = 4 m, we get:
A = 4π(4^2) = 4π(16) = 64π
Using a calculator, we can approximate this to:
A ≈ 201.06
Rounding this to the nearest square meter gives us:
A ≈ 201 m (answer)
To find the surface area of a sphere, we can use the formula:
Surface Area = 4πr^2
where r is the radius of the sphere.
Given that the radius is 4 m, we can substitute it into the formula:
Surface Area = 4π(4^2)
= 4π(16)
= 64π
To find the surface area rounded to the nearest square meter, we need to calculate the value of π and then multiply it by 64.
Using an approximation for π as 3.14:
Surface Area ≈ 3.14 * 64
≈ 200.96
Rounded to the nearest square meter, the surface area is 201 m.