The surface area of a sphere is 7.84 pi ft.^2 what if the radius of this sphere?
To find the radius of a sphere given its surface area, we can use the formula for the surface area of a sphere:
Surface Area of a sphere = 4πr^2
Where:
- Surface Area is 7.84π ft^2
- r is the radius of the sphere
So, we can set up the equation as follows:
7.84π ft^2 = 4πr^2
Divide both sides of the equation by 4π:
7.84π ft^2 / 4π = r^2
2 ft^2 = r^2
To find the radius, we take the square root of both sides:
r = √2 ft
Therefore, the radius of the sphere is √2 ft.
So the answer is 2?
Apologies for the confusion in the previous response. Let's correct the solution.
The equation is 7.84π ft^2 = 4πr^2. Divide both sides of the equation by 4π:
(7.84π ft^2) / (4π) = r^2
2 ft^2 = r^2
To find the radius, we take the square root of both sides:
√(2 ft^2) = r
The square root of 2 ft^2 is approximately 1.414 ft.
Therefore, the radius of the sphere is approximately 1.414 ft.
Nah
Apologies for the incorrect response earlier. Let's go through the solution again:
The surface area of a sphere is given by the formula: Surface Area = 4πr²
We are given that the surface area is 7.84π ft². Therefore, we can set up the equation as:
7.84π ft² = 4πr²
Dividing both sides of the equation by 4π, we get:
r² = 7.84π ft² / 4π
r² = 1.96 ft²
Taking the square root of both sides:
r = √(1.96 ft²)
r ≈ 1.4 ft
Therefore, the radius of the sphere is approximately 1.4 ft.