Question

Select the correct answer.

Selim Is ordering concrete spheres to place as barriers in the city park. The spheres cost $2 per square foot and Selim can spend $20 per
sphere. What is the maximum diameter of the spheres he can purchase?
OA 1.78 ft
ОВ.
1.59 ft
OC. 0.89 ft
OD. 3.56 ft
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INTL 11:41

Answer 1

The maximum diameter of the spheres Selim can purchase is approximately 3.56 feet.

Step-by-step explanation:

To find the maximum diameter of the spheres Selim can purchase, we need to determine the maximum area of the sphere that he can afford. Selim can spend $20 per sphere, and the spheres cost $2 per square foot. Therefore, he can afford a maximum area of 10 square feet ($20 / $2). The area of a sphere is given by the formula A = 4πr^2, where A is the area and r is the radius. If the area is 10 square feet, we can solve for the radius as follows:

10 = 4πr^2

r^2 = 10 / (4π)

r = sqrt(10 / (4π))

r ≈ 1.78 feet

The maximum diameter of the spheres Selim can purchase is twice the radius, so the maximum diameter is approximately 2 * 1.78 = 3.56 feet.

Answer 2

I think the answer is 1.78

Step-by-step explanation: