Questions on Geometry: Volume, Metric volume answered by real tutors!

Tutors Answer Your Questions about Volume (FREE)

Question 46883: I really need some help with this question. Can anyone explain it to me?
Thanks!

The volume V of a square based pyramid with base sides s and height h is:

V = 1/3 s^2 h

If the height is half of the length of a base side, express the volume V as a function of s.
Click here to see answer by fractalier(2101)

Question 47554: Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
Click here to see answer by stanbon(57967)

Question 47580: Find the area of the trapezoid: Top: 8ft, Bottom: 12ft. Right side 6ft.(h) I know area= 1/2h(b1 = b2) but still can't get this one. The 2n part of the question asks: if the base formed a solid of 10in high what is the volume? Can someone help me please?
Click here to see answer by Nate(3500)

Question 47620: The Volume of a cube is given by V=s^3, where s is the length of a side. Find the length of a side of acube if the volume is 1000 cm^3
Click here to see answer by Nate(3500)

Question 47737: I have cylinder on its side holding a liquid. the volume of the cylinder is no problem to determine but i need help as the volume in the tank drops. Cylinder measures 11 ft x 4ft
and current tank level is 1 ft or three ft down. What is the volume in tank at 1 ft? What is the calculation to determine volume at different tank levels?
Click here to see answer by venugopalramana(3286)

Question 48357: The volume of a rectangular refrigerator is 25 cubic feet. If the top measures 2 feet by 2.5 feet, then what is the height?
Click here to see answer by Nate(3500)

Question 50926: If a cylinder lies on its side and is partially filled with liquid, what it the formula for calculating the quantity of liquid, if, the diameter and the length of the cylinder is known and the depth of the liquid is known. i.e If you cut a hole in the top of the cylinder whilst it is lying down and you use a linear measurement to find out what the depth of the liquid is. Thanks very much
Click here to see answer by stanbon(57967)

Question 51174: Harriet's family just purchased an above ground circular swimming pool. The diameter of the pool is 12 feet. The depth of the pool is 4 feet. How much water is needed to completely fill the pool? Use the formula V=(pie)r(squared)h. Let (pie)=3.14
Click here to see answer by Earlsdon(6294)

Question 53833: A room requires the ventilation system to produce 8 air exchanges per hour. This means that every hour the ventilation system must move a volume of air equal to 8 times the volume of the room. The area of the rectangular floor of the room is x square feet. The rectangular walls are 10 feet high. In terms of x, how many cubic feet of air must the ventilation syastem move per hour. ( I am a Mom trying to help my child with a practice SAT. I can't figure this out!)
Click here to see answer by checkley71(8403)

Question 54367: Problem:
A right circular cylinder has a radius of 10 inches and a height of 20 inches. Find the volume of the right circular cylinder.
Radius=10 inches
Height= 20 inches
Formula (guess) : (pi x r)h

This is how i worked it out:
10 x 3.14=31.4 x 20= 628 in.

I miss these kind of problems everytime on homework and on test. I really need help.
Click here to see answer by Nate(3500)

Question 57029: What is the volume of a frustum with the radius of the top = .525cm, the radius of the bottom = .735cm and the height is 3.85? I could really use the help!
Click here to see answer by ankor@dixie-net.com(15746)

Question 57459: You have 100 square meters of material. Which will hold more volume, a sphere or a cube made from that much material? How much more? Thank you Nick.
Click here to see answer by rcmcc(152)

Question 10883: Math Question: When blown up, a beach ball has a radius of 12inch. How much air in cubic feet is needed to blow it up. The formula is V=(fraction) 4/3 pie 3.14 r3
Click here to see answer by funmath(2925)

Question 35034: Each cubic meter of earth to be removed from the tunnel at the right has mass 2.5 tons. What mass of earth must be remove if the tunnel is 5 km long?
Click here to see answer by rcmcc(152)

Question 59743: Find the volume between the two spheres. A picture shows a circle within a circle and a line is drawn from the center of the sphere to the outer edge with a 9m for the distance. Another line is drawn from the center to the outer edge of the inner sphere with a distance of 5m Can you help me find the volume between the two spheres with this information.

Click here to see answer by stanbon(57967)

Question 61254: Please help!
Question: Lauren wants to buy an aquarium that has a volume of 18 cubic units. how many different aquariums with the same volume could she buy? write the measurements for each one.
Click here to see answer by checkley71(8403)

Question 61346: A water storage tank is shaped like a circular cylinder with half of a sphere at each end.Find the volume of the tank if the cylindrical section is 100 cm long with a 40cm diameter.Use 3.14 for pi.Round the final answer to two decimal places.
Click here to see answer by funmath(2925)

Question 61432: The geometric mean of 10 and 40 is?
Click here to see answer by joyofmath(189)

Question 61705: please help
find the volume of a sphere whose radius is 8m
Click here to see answer by venugopalramana(3286)

Question 61435: A triangle with sides of lengths 4x, 2x, and 3x is? (acute, right, obtuse)
Click here to see answer by joyofmath(189)

Question 61441: A diameter that is perpendicular to a chord BLANK the chord and its arc.
Click here to see answer by joyofmath(189)

Question 62927: The volume of a cube is given by V=s^3. Find the length of a side of a cube if the volume is 729cm^3.
Click here to see answer by funmath(2925)

Question 63266: An open-top box is to be constructed from a 6 foot 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. Find the function V that represents the volume of the box in terms of x. Graph this fuction and show the graph over the valid range of the variable x. Using the graph, what is the value of x that will produce the maximum volum?
Click here to see answer by jai_kos(139)

Question 63366: A cube has a surface area of 294cm2 (294cm squared). What are the formulas to find both dimension and volume? Thank you!
Click here to see answer by venugopalramana(3286)

Question 63366: A cube has a surface area of 294cm2 (294cm squared). What are the formulas to find both dimension and volume? Thank you!
Click here to see answer by 303795(595)

Question 63624: The volume of a cube is given by V=s^3. Find the length of a slide of a cube if the Volume is 729cm^3.
answer:
show work
Click here to see answer by joyofmath(189)

Question 63975: I need a little help with this one.
The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number.
Click here to see answer by stanbon(57967)

Question 61438: If line ax, line by, and line cz contain the sltitudes of triangle abc, then line ax, line by, and line cz are BLANK lines.
Click here to see answer by 303795(595)

Question 64198: An open-top box is to be constructed from a 6 foot 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. Find the function V that represents the volume of the box in terms of x.
Graph this function and show the graph over the valid range of the variable x...
Using the graph, what is the value of x that will produce the maximum volume?
Click here to see answer by Edwin McCravy(8999)

Question 64206: The volume of a cylinder (think about a volume of a can) is given by V=pir^2h 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. Keep pi in the function's equation.
What is the measurement of te height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number.
Graph this function.
Click here to see answer by stanbon(57967)

Question 65384: When finding he volume of a sphere, what unit does the radius need to be put in to solve it? And when the problem is solved what unit should the answer be put in also? I am using v=4/3 pi r³ r= 5 inches(should this be a different unit??)
Thank you
Click here to see answer by stanbon(57967)

Question 64599: in a triangle we have: angle A=60 , angle B=80 and angle C=40
from vertex A we draw angle bisector and median and altitude , what will be the amount of angles constructed in vertex A
Click here to see answer by Dalebert22(1)

Question 65936: The women's softball leage uses a ball with an approximate radius of 2.22 in. What is the approximate volume of their softball?
Answer Choices:
A) 13.94 cu in.
B) 15.48 cu in.
C) 45.81 cu in.
D) 61.90 cu in.
Click here to see answer by stanbon(57967)

Question 66754: what does 1/3pie equal
Click here to see answer by rapaljer(4667)

Question 66755: The volume of a cone equals one-third times the product of pi,the square of the radius r of the base,and the height h.
42.Find the volume of a cone if r is 10 centi,eters and h is 30 centimeters??
Click here to see answer by rapaljer(4667)

Question 67174: What is the side of a cube with a volume of 512in3?
Click here to see answer by Zoop(21)

Question 68232: I really need help with this, i cant remember how to do it, and i need it done by tonight. I would really appreciate your help

) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a) Write h as a function of r. Keep "π" in the function's equation.
Answer:
Show work in this space.

b) What is the measurement of the height if the radius of the cylinder is 3 centimeters? Round your answer to the hundredth's place.
Answer:
Show work in this space.

c) Graph this function.

Click here to see answer by asdfg123(3)

Question 71482: Hello,
Can someone please help me find the volume of a cone with a height of 4m and a diameter of 2.2m?

Thank you
Click here to see answer by Earlsdon(6294)

Question 72452: An earthquake in Los Angeles surfaced an unearthly creature that had been trapped underground for centuries. It came to life and ate every plant in its path, causing it to grow out of control. Each day it doubled in volume. At 8 a.m. on January 14th, it was seen by fishermen who estimated its size to be a blob of about 100 cubic feet. For five days it grew and nothing could stop it. Finally, on January 19th, it fell into the Pacific Ocean and drowned. How big was it when it died?
Click here to see answer by jim_thompson5910(28715)

Question 72552: The volume of a cube is given by V = s^3. Find the length of a side of a cube if the Volume is 729 cm^3. "^" Means it is cubed
Answer:
Show work in this space.

Click here to see answer by jim_thompson5910(28715)

Question 72979: I need to know how to find the volume of a cube. The question states. The volume of a cube is given V=s^3. Find the length of a side of a cube if the Volume is 729cm^3.
Click here to see answer by stanbon(57967)

Question 73002: Thanks for helping me understand how to solve the problem, and yes, I need your help again for an assignment due in the morning. The question is suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth's place. Please HELP!!!!
Click here to see answer by stanbon(57967)

Question 73090: The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 729 cm^3.
Answer:
Show work in this space.
This question I am also a little confused on. This is what I have gotten so far.
v = 729
729 = s^3
729 = 9
or this
v = 729^3
729^3 = s^3
729 = s
I don't know which one is right. They both make sense. I have not been able to get a hold of my teacher to find out if the 3 is suppose to be there above the cm or not.
Click here to see answer by rmromero(383)

Question 73333: what is the cubic yardage from a hole 3'round by 100' deep?
Click here to see answer by checkley75(3666)

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