A water treatment plan is built with three cylindrical tanks to contain the water for a town. Each tank has a radius of 15 feet and a depth of 25 fee.

If there are about 7.5 gallons in a cubic foot of water, approximately how many gallons of water can be treated at the plant at any one time?

A. 7.1 * 10^3
B. 1.3 * 10^5
C. 4.1 * 10^5
D. 4.1 * 10^6

I did: pi * 15^2 * 25 * 3 * 7.5 = 397607.82
(area * height * num tanks * gallons/volume)

This doesn't match any of the options given. What could be wrong?

thanks mr. pursley

Round to 397607.82 and move decimal 5 times

4.1x10 to the 5th power

I have the answer sheet and it says the answer is C

To determine the volume of water that can be treated at the water treatment plant, you calculated the correct formula using the formula for the volume of a cylinder (area * height) and multiplied it by the number of tanks and the conversion factor from cubic feet to gallons (3 * 7.5). However, it seems that you made a mistake in your calculations.

Let's go through the calculations step by step:

The formula for the volume of a cylinder is found by multiplying the area of the base (π * r^2) by the height (h).

Volume = π * r^2 * h

Given that each tank has a radius of 15 feet and a depth of 25 feet, we can substitute these values into the formula:

Volume = π * (15)^2 * 25

Calculating this expression:

Volume = 3.14 * 15^2 * 25
= 3.14 * 225 * 25
= 17662.5 cubic feet

Now, to convert cubic feet to gallons, we multiply by the conversion factor of 7.5:

Volume in gallons = 17662.5 * 7.5
= 132468.75 gallons

So, the total number of gallons that can be treated at the water treatment plant at any one time is approximately 132468.75 gallons.

Now, let's compare this result to the given options:

A. 7.1 * 10^3 (7.1 * 1000 = 7100)
B. 1.3 * 10^5 (1.3 * 100,000 = 130,000)
C. 4.1 * 10^5 (4.1 * 100,000 = 410,000)
D. 4.1 * 10^6 (4.1 * 1,000,000 = 4,100,000)

The correct answer should be the closest option to 132468.75 gallons, which is option B (1.3 * 10^5).

The answers are wrong, you are correct.