Identify and apply formulas for surface area and volume of spheres, right solids including rectangular prisms and pyramids ; cones ; cylinders ; and compositions thereof. Solve related context based problems.
&& use volume formulas for cylinders pyramids cones and spheres to solve problem.


Cade is planning a party for 50 people. He plans to buy one keg of root beer. A keg of root bee is cylindrical an is 13" in diameter and 17" tall. Cade plans to use mugs that are also cylindrical and 3" in diameter and 4 3/4 tall. Will there be enough root beer to serve at least one full mug?

Need full answer and written out why it was that and what you learned please.

I paid the last guy 40fg and the answer wasn't written out enough I need full equations shown and reasoning. Please and thank you. 50fg for everything written out and explained what you did and why. Thank you!
Making sense, communication/reasoning, accuracy, reflection are what it is graded on.

This post was edited by daiblorules on May 19 2014 10:41am

hope it helps

This post was edited by saber_x3 on May 19 2014 11:36am

wat

How could I make it any clearer?

This post was edited by nlin on May 19 2014 01:17pm

This is the same problem that someone solved for you already, except they left pi as a factor.

You need to know if volume in the keg is enough for 50 mugs, so you calculate volume in the keg and volume of 50 mugs. Both the keg and the mugs are modeled as cylinders, so you use the cylinder volume equation (pi*D^2)*h/4

You see that the keg has more volume than 50 mugs, therefore you will have enough to serve everyone one mug of root beer and the keg will not be depleted.

This post was edited by Dontrunaway on May 19 2014 02:01pm

I'm more concerned with the fact that he's 22 and apparently cannot solve a simple 9th grade math problem.

Cade is planning a party for 50 people. He plans to buy one keg of root beer. A keg of root bee is cylindrical an is 13" in diameter and 17" tall. Cade plans to use mugs that are also cylindrical and 3" in diameter and 4 3/4 tall. Will there be enough root beer to serve at least one full mug?


I paid the last guy 40fg and the answer wasn't written out enough I need full equations shown and reasoning. Please and thank you. 50fg for everything written out and explained what you did and why. Thank you!
Making sense, communication/reasoning, accuracy, reflection are what it is graded on.

making sense)
I know:
cade is planning a party for 50 people
he plans to buy one keg of root beer, the keg is cylindrical and has a diameter of 13'' and is 17'' tall
I also know that the mugs used to hold the root beer are 3'' in diameter and are 4.75'' tall

I want to know:
if there is enough root berr to serve every person at least one full mug of root beer

communication/reasoning)
I know that the mugs and keg are a cylindrical shape meaning I need to use the formula to find the volume of each the keg and the mug
but I need to know if volume keg>= volume 50 mugs because there must be at least enough root beer for each person

the formula for the volume of a cylinder is pi r^2 h
where r is the radius and h is the height of the cylinder

to find the volume of the keg we need to realize that the diameter is equal to twice the radius so we need to cut it in half
d/2 = 13''/2 = 6.5''
now to substitute my answer into the equation
V keg = pi 6.5'' ^ 2 17''=718.25pi cubic in

now to find the volume of the mug again we are given the diameter so we must divide by two to find the radius
d/2 = r = 3/2 = 1.5''
now to substitute it into the equation for volume of a cylinder
v mug = pi * 1.5'' ^ 2 * 4.75'' = 10.6875 pi cubic in
but e need to know if each of the 50 people can have at least one full much so we must multiply our answer by 50 ( one for each person)
50 * 10.6875 pi cubic in = 534.375 pi cubic in

since the volume of the keg is larger than the volume of 50 mugs because
718.25pi cubic in > 534.375 pi cubic in

we can conclude that yes there will be enough root beer for each person to get at least one mug

accuracy ) above work is shown in detailed explanation

reflection) (you can solve it another way or simply reflect on the work you did if you want a higher grade solve it another way than I did )

I can conclude that my answer is the correct answer because I found that that the volume of the keg was greater than the volume of 50 mugs and since there are 50 people coming to cades party we can see that there will be enough for each of the 50 people to have at least oe full mug of root beer

Doesn't seem 22...

wall too large