anonymous
  • anonymous
A tank is in the form of an inverted right circular cone. The tank has a height of 4 feet and width of 2 feet. The tank is filled with x inches of water. (a) find an expression for the volume of water in the tank in terms of x, the depth of the water
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
ybarrap
  • ybarrap
do u know volume of a cone?
anonymous
  • anonymous
(1/3)(pi)(r^2)h
ybarrap
  • ybarrap
So this is V, our volume. Which of the variables you have here could represent the height of the water in this cone?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
4
ybarrap
  • ybarrap
I'm looking for on of the variables you have in the formula for volume. It's going to be r or h.
anonymous
  • anonymous
h
ybarrap
  • ybarrap
*one
ybarrap
  • ybarrap
right, so now you have volume and you can replace h with x now and you will have volume in terms of x, the height of water in your cone
anonymous
  • anonymous
so x would be (1/3)pi ?
ybarrap
  • ybarrap
1/3)(pi)(r^2)\(\bf x\)
anonymous
  • anonymous
so it would be x=(1/3)(pi)(1^2)
ybarrap
  • ybarrap
It would be, since you know r=12 inches, Volume = \(\Large \dfrac 1 3 \pi 12^2 x=\dfrac {144} {3} \pi x\). The fact that the cone is 4 feet tall is irrelevant.
ybarrap
  • ybarrap
This is volume of water in terms of water height "x" in inches. Volume is in cubic inches.
anonymous
  • anonymous
so the answer is x= 478 inches^3
ybarrap
  • ybarrap
No. The answer is \(\Large \dfrac {144} {3} \pi x\). This is the volume of water in the cone as a function of x. "x" is a variable. When the amount of water (i.e. volume) in the cone changes, the height of water in the cone (x) will also change. There is no numeric answer unless you wanted to know the volume of water at a certain water level. Now if you plug in 4 ft (48 inches), you'll have the volume of water in the cone at full capacity.
ybarrap
  • ybarrap
They want an expression, not a numeric answer.
anonymous
  • anonymous
oohhh got it. so if it says the cone is filled with 20 inches of water, i plug 20 inches as x?
ybarrap
  • ybarrap
you got it!
anonymous
  • anonymous
thank you so much!
ybarrap
  • ybarrap
my pleasure

Looking for something else?

Not the answer you are looking for? Search for more explanations.