selim is ordering concrete spheres to place as barriers in the city park. the spheres cost $2 per square foot, and selim can spe

Question

8 months ago

12

nd $20 per sphere. what is the maximum diameter of the spheres he can purchase? a. 0.89 ft b. 3.56 ft c. 1.78 ft d. 1.59 ft

1 answer:

hoa [83] · Answer 1 · 2024-03-02T20:49:52+03:00

The maximum diameter of the spheres he can purchase is 1. 78 ft. Option C

<h3>How to determine the diameter</h3>

The formula for area of a sphere is expressed as;

Area = 4 πr²

If Selim paid $2 per square foot and have a maximum of $20 per square

The area he can purchase is;

= $20/$2

= 10$

Substitute the value into the formula

10 = 4πr²

10 = 4 × 3. 142 × r²

10 = 12. 568r²

Make 'r²' the subject

r² = 10/ 12. 568

r² = 0. 79

Find the square root of both sides

r = √0. 79

r = 0. 89

But diameter = 2(radius)

Diameter = 2 × 0. 89 = 1. 78 ft

Thus, the maximum diameter of the spheres he can purchase is 1. 78 ft. Option C

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