The height of the smaller can would need to be 12.8 cm.
First find the volume of the larger can of paint. The volume of a cylinder is given by the formula
V=πr²h
Using the dimensions of the larger can, we have
V = 3.14(8²)(20) = 4019.2
Since he has 1/4 of this can, divide the volume by 4:
4019.2/4 = 1004.8
We will use this as the volume of the smaller can. Substituting this in along with the radius of the smaller can (using the same volume formula), we have:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h
Answer: $15,000
As $35,000-$20,000=$15,000.
That's basically the profit he had made, or the return on his investment (ROI).
As he already had $20,000, he had "only" made $15,000.
First, determine the center of the circle by getting the midpoint of the points given for the circumference.
midpoint = ((0 + 0)/2, (3 + -4)/2)
midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center.
radius = √(0 - 0)² + (3 +4)² = 7
The equation for the circle would be,
x² + (y + 0.5)² = 7²
