The surface area of a sphere is 7.84 pi ft.^2 what if the radius of this sphere?

Answer 1

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.

Answer 2

So the answer is 2?

Answer 3

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.

Answer 4

Nah

Answer 5

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.