the gas tank of a truck is a cylinder 5ft long with a diameter of 1.5ft. at the gas station, a pump pours gas at the rate of 2 ft^3 per minute. how many minutes does it take to fill the empty tank with that pump? use the value 3.14 for pi

Question

anonymous · Answer

do you know how to get the area of a circle? and hence the volume of a cylinder?

anonymous · Answer

no

anonymous · Answer

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anonymous · Answer

can you help me doing this problem step by step

anonymous · Answer

so that is what you have been given. You first need to find the volume of a cylinder. 

$$v=h*\pi*r^2$$
$$r=\frac{1}{2}*D$$

so you have 
$$h=5, D=1.5 $$ and thus $$r=0.75$$

anonymous · Answer

you should now be able to work out v

anonymous · Answer

would this be the next step  3.14 * 0.75^2 * 3.5 = 6.19

anonymous · Answer

is h supposed to be 3.5? in your question it says 5

anonymous · Answer

so it would be 3.14*0.75^2*5=8.83125 then what would be the next step?

anonymous · Answer

yes that is the volume of the cylinder

anonymous · Answer

okay is there a next step?

anonymous · Answer

So the next step is to find how long it takes to fill. 
You have been given that that the pump pours $2$ft$^3$ per minute. This is saying that every minute the volume of the cylinder has been filled by  $2$ft$^3$. 
there for you need to now calclulate
$$\frac{v}{2}$$

anonymous · Answer

would it be this 4.415625

anonymous · Answer

yes. a good trick to do with your calculator is there is a button that looks like.....

anonymous · Answer

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