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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Answer:
PLease
Step-by-step explanation:
The answer is 3 ft
The surface area (SA) of a cylinder with radius r and height h is:
SA = 2πr² + 2πrh = π(2r² + 2rh)
We have:
SA = 126π ft²
h = 3 * d
d = 2r
h = 3 * 2r = 6r
126π = π(2r² + 2rh)
126 = 2r² + 2rh
126 = 2r² + 2r * 6r
126 = 2r² + 12r²
126 = 14r²
r² = 126/14
r² = 9
r = √9
r = 3
