Question

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

Answer 1

The radius of a sphere with a surface area of 7.84 π ft² is found by dividing the area by 4π and taking the square root of the result, leading to a radius of 1.4 feet.

Step-by-step explanation:

The surface area of a sphere is given by the formula 4 π r². Given that the surface area is 7.84 π ft², we can set up the equation 4 π r² = 7.84 π. To find the radius r, we need to divide both sides of the equation by 4π.

Dividing 7.84π by 4π, we get r² = 1.96. The radius r is then the square root of 1.96, which is r = √1.96. This simplifies to r = 1.4 feet. Therefore, the radius of the sphere is 1.4 feet.

Answer 2

The radius of a sphere with a surface area of 7.84 π ft.² is found by solving the equation 7.84 π = 4 π r², resulting in a radius of 1.4 feet.

Step-by-step explanation:

To find the radius of a sphere when given the surface area, we use the formula for the surface area of a sphere: surface area = 4 π (radius)².

The question states that the surface area of the sphere is 7.84 π ft.².

Setting this equal to the formula for surface area and solving for radius, we get:

7.84 π = 4 π r²

To solve for r, we first divide both sides of the equation by 4 π:

r² = (7.84 π) / (4 π)

r² = 7.84 / 4

r² = 1.96

Finally, take the square root of both sides:

r = √(1.96)

r = 1.4 ft.

Therefore, the radius of the sphere is 1.4 feet.