A ball has a surface area of 26.87 square feet. to the nearest tenth of a foot, what is the radius of the ball? use π = 3.14. a. 1.4 ft b. 1.5 ft c. 1.6 ft d. 1.2 ft

Question

asked Feb 12, 2024 189k views

1 Answer

Kaspar Etter · Answer 1 · 2024-02-15T23:28:22+0000

To find the radius of the ball, we use the formula for the surface area of a sphere and solve for r.

To find the radius of a ball, we can use the formula for the surface area of a sphere, which is given by:

A = 4πr2

where A is the surface area and r is the radius.

In this case, the surface area of the ball is given as 26.87 square feet, so we can set up the equation:

26.87 = 4 * 3.14 * r2

To solve for r, we can divide both sides of the equation by 4 * 3.14:

r2 = 26.87 / (4 * 3.14)

r2 ≈ 2.144

Taking the square root of both sides gives us:

r ≈ √2.144

r ≈ 1.46

To the nearest tenth of a foot, the radius of the ball is 1.5 feet (option b).