Answer: Out of the provided answer options, the closest one is 7.35 inches.
Explanation:
AI-generated answer
To find the height of the tub, we can use the formula for the total surface area of a cylinder, which is given by the formula:
Surface area = 2πr(r + h)
In this case, the total surface area of the tub is given as 387.79 square inches and the diameter (which is twice the radius) is given as 10 inches.
To start, we need to find the radius of the tub:
Radius (r) = diameter/2 = 10/2 = 5 inches
Now we can substitute the given values into the surface area formula:
387.79 = 2 * 3.14 * 5 * (5 + h)
We can simplify the equation further:
387.79 = 31.4 * (5 + h)
Next, let's solve for the height (h):
Dividing both sides of the equation by 31.4:
12.37 = 5 + h
Subtracting 5 from both sides:
h = 12.37 - 5
h = 7.37 inches (approximately)
Therefore, the height of the tub is approximately 7.37 inches.
Out of the provided answer options, the closest one is 7.35 inches.