A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 pounds per cubic feet. How much work (W) does it take to pump all of the kerosene from the tank to an outlet which is at the level of the top of the tank?

The work done to  pump all of the kerosene from the tank to an outlet is  

Step-by-step explanation:

The work is defined by:

(1)    

The force here will be the product between the volume and the kerosene weighing, so we have :

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is  

I hope it helps you!  

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

drive more conversions to your website

conversions are the outcome of your efforts. when a visitor sign up for any newspaper, or fill any form to order a specific product or when your page is shared on social media, all such attempts mean conversions of a website. whenever your desired action is fulfilled, the conversion rate of your website will increase. this increase in your conversion rate will prove that your website is   going well. it also confirms that the quality of your website’s marketing was really good.drive more conversion to your website       drive more conversions to your website