Kamilah's uncle, a fire captain, said the diameters of fire hoses range from 1.5in. to 6in. and the hoses are 50 feet long. Find the approximate minimum and maximum volumes of a fire hose in cubic feet.

Question

calculusxy · Answer

@jim_thompson5910

jim_thompson5910 · Answer

Smallest diameter = 1.5 inches

smallest radius = 1.5/2 = 0.75 inches

what is the volume of the cylinder with the smallest radius?

calculusxy · Answer

So I just want to clarify for this. DO you just have to find the volume of the smaller and the larger hose?

jim_thompson5910 · Answer

yes that's correct

jim_thompson5910 · Answer

it's technically 1 hose

those volumes are just the range so to speak

calculusxy · Answer

So for that question, the minimum volume would be: 353.5in^3 and the max: 565.5in^3 ?

jim_thompson5910 · Answer

how are you getting  353.5?

calculusxy · Answer

Silly mistakes!!! Sorry I used both diameters instead of the radius.

jim_thompson5910 · Answer

also, do not forget to convert everything to the same unit

it makes no sense to say "2 inches times 4 feet = 8 inches (or feet)"

but you can say "2 inches times 48 inches = 96 inches" (4 ft = 48 in)

jim_thompson5910 · Answer

oops I meant to write 96 square inches

calculusxy · Answer

Yes thank you sooooo..... much!  Can I mention you when I am done with the worksheet and mention you then?

calculusxy · Answer

Well, depends on how long you plan to stay on OS

jim_thompson5910 · Answer

sure I can help with a few more

calculusxy · Answer

Okay thank you!!