Answer:
10 cm³
Step-by-step explanation:
The equation for density is: d = m/v, where d is the density, m is the mass, and v is the volume.
Here, d = 2.5 and m = 25.0, so plug these into the equation to solve for v:
d = m/v
2.5 = 25/v
Multiply both sides by v:
2.5v = 25
Divide by 2.5:
v = 25/2.5 = 10
Thus, the volume is 10 cm³.
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
<h3>
How to find the diameter of the ball?</h3>
Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
