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Tutors Answer Your Questions about Volume (FREE)
Question 1720: You want to make a vertical file by bending the long side of an 8x14 inch sheet of metal along two sides to make a U shape. Express the volume of the file as a function of the height. Find the domain and range of the resulting function. How tall should the file be in order to maximize the volume that it can hold?
Click here to see answer by khwang(438)  |
Question 2077: Hi, have no idea how to solve this: A formula of dimonds price is C=am^2, m - is a dimond's mass, a - is a constant number independent of diamond's mass. So the dimond is cut into two pieces.
1. Find a ratio of the masses of those two pieces, when the sum of the prices of these two pieces equals 5/9 of a whole uncut dimond price.
2. What is a ratio of the masses of those two pieces, when the sum of the prices of these two pieces is lowest?
:)
Click here to see answer by khwang(438) |
Question 9508: The question says the volume of a cube is given by V=s^3, where s is the length of a side. The cube has a side of length 4a. What is the volume of the cube in terms of a? I'm not sure what in terms of a means or how to solve this problem. If you could help that would be great! thanks
Click here to see answer by prince_abubu(198) |
Question 10941: When blown up, a beach ball has a radius of 12inches. How much air in cubic feet is needed to blow up the ball. The volume of a sphere is V= 4/3 pie (3.14) r3 where pie and r is the radius.)
PLEASE HELP !!!!
Click here to see answer by askmemath(368) |
Question 13766: Calculate the volume in cu. ft. of a drainage pipe that measures 8 feet in
length and 24 inches in diameter. ( remember that all measurements must be in the same units, and be careful that you distinguish between diameter and area when using the formula.
Click here to see answer by Alwayscheerful(414) |
Question 14681: I have received this question in my Magnet program class and I have been trying to figure it out for 3 days. Please HELP!
The equatorial daimeter of the Earth is 7,923 miles. The equatorial diameter of Jupiter is 88,944 miles. Use the fact that 1 mile = 1.61 kilometers to convert each diameter to kilometers. Round your answers to the nearest whole kiolmeter. Then use the formula V=4/3 pi cube to determine the volume of each planet. Your answer should be inter terms of km cube. Finally, answer the question of how many complete Earths will fit inside of Jupiter. (Disregard Negative space).
Problem should be solved by diameter conversions, volume of the panets and final answer. Please show all work.
Click here to see answer by Earlsdon(6287) |
Question 19673: Need to find the cubic inch capacity of an object that is 2 inches in diameter and 18 feet long. What is the formula for solving this problem? It has been 40 years since I have had to use this formula.
Thanks for your help.
Click here to see answer by wuwei96815(245) |
Question 20754: I'M HAVING A VERY HARD TIME TRYING TO FIGURE THIS ONE OUT.PLEASE HELP!!! I NEED TO FIND THE VOLUME OF A SOLID IN A FIGURE. THE FIGURE IS IN A RECTANGULAR SOLID THAT MEASURES 12FT=LENGHT 8FT=WIDTH 2FT=HEIGHT AND THE CYLINDER INSIDE IS 4FT IN DIAMETER AND 8FT IN LENGHT. THANK-YOU FOR YOUR HELP!!!
Click here to see answer by kapilsinghi(68) |
Question 24068: A special cushion designed to go in a corner is shaped like a triangular pyramid. The base is a right triangle with sides of length 42 cm, 56 cm, 70 cm. If the height of the pillow is 64 cm, what is the volume?
our teacher said to use this equation for a triangular base: [(base*height)(divided by 2)(* height) then, divide the answer by 3]
He said that u use find the area of the base * the height, / by 3.
He said that you just find the volume like you would for a rectangular prism and divide the answer by three.
I tryed to find the answer a couple of times, but using the information of the base's lengths, i couldn't find the area of the base. Therefore, I couldn't finish the equation to find the answer.
Click here to see answer by stanbon(57347) |
Question 25284: I am stumped. I have the following equation and can only get so far because this is the first time I am working with pie. I will show you what I have and would greatly appreciate it if you can show me step by step how i am supposed to do it so that I can refer to it and finish the rest of my assignment i would be ever so grateful.
The volume of a cylinder (think about the volume of a can) is given by V=pie r²h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters. Write h as a function of r.
this is what I got:
100=pie r²h
100=3.14r²h
I am lost after that.
Click here to see answer by Earlsdon(6287) |
Question 25283: I think I have submitted this before but I have really been confused. I did some of it but think I did it wrong as the answer doesn't make sense.
An open-top box is to be connected from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and then folding up the flaps. Let x denote the length of each side of the square to be cut out. Find the function V that represents the volume of the box in terms of x.
This is what I got:
6x+8x+x=14x²
x=14
What if anything did I do wrong?
Click here to see answer by venugopalramana(3286) |
Question 26217: 1) An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer
b) Graph this function.
Show Graph here
c) Using the graph, what is the value of x that will produce the maximum volume?
Answer
Click here to see answer by venugopalramana(3286) |
Question 26928: This cylinder is made of solid aluminum that has a unit weight of 165 pounds per cubic foot. The Cylinder is 5 foot high by 3 foot wide. What is the weight of this cylinder.
this is a problem that was brought up at work and we couldn't figure out the answer. please help us
Thank you
Click here to see answer by bmauger(101) |
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