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Answer :
The maximum amount of water the drain pan can hold with the water heater in place is approximately 759.88 cubic inches.
To find the maximum amount of water that the drain pan can contain with the water heater in the position shown, we need to calculate the volume of the drain pan.
The drain pan's shape can be considered as a cylinder with a circular base and a height of 2 inches. The diameter of the drain pan is given as 22 inches.
The formula to calculate the volume V of a cylinder is:
[tex]\[ V = \pi r^2 h \][/tex]
Where:
- r is the radius of the circular base
- h is the height of the cylinder
Given that the diameter of the drain pan is 22 inches, the radius r is half of the diameter, so [tex]\( r = \frac{22}{2} = 11 \)[/tex] inches.
The height h of the cylinder is given as 2 inches.
Now, substitute the values into the formula:
[tex]\[ V = \pi \times (11)^2 \times 2 \][/tex]
[tex]\[ V = \pi \times 121 \times 2 \][/tex]
[tex]\[ V = 242\pi \][/tex]
To find the approximate value, we can use [tex]\( \pi \approx 3.14 \):[/tex]
[tex]\[ V \approx 242 \times 3.14 \][/tex]
[tex]\[ V \approx 759.88 \][/tex]
Therefore, the maximum amount of water that the drain pan can contain with the water heater in the position shown is approximately 759.88 cubic inches.
The Correct Question is:
A water heater has a diameter of 18 inches. It sits in a drain pan that has a diameter of 22 inches and a height of 2 inches, as modeled in the diagram below. Top View of Water Heater Inside Drain Pan Water that leaks out of the water heater sits in the drain pan. Which of the following is closest to the maximum amount of water that the drain pan can contain with the water heater in the position shown?
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