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

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 Geometry: Volume, Metric volume Solvers Lessons Answers archive Quiz In Depth

 Question 73750: I am stuck on this problem, if someone can be of any assistance I would greatly appreciate. Thank you! 1) 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. a) Find the function V that represents the volume of the box in terms of x. Answer b) Graph this function and show the graph over the valid range of the variable x. 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 jim_thompson5910(28595)

 Question 73751: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr^2 h 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. a) Write h as a function of r. Keep "π" in the function's equation. Answer b) What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number. Answer Show work in this space c) Graph this function. Show graph here "π" is the symbol for (PI) Click here to see answer by jim_thompson5910(28595)

 Question 74018: what is the volume of a cone who's circumfrance is 12mm and height is 16mm Click here to see answer by Earlsdon(6287)

 Question 74030: The volume of a right circular cone is given by v=1/3*3.14*r2(radius squared)*h solve for h Click here to see answer by jim_thompson5910(28595)

 Question 74681: Hi Free Tutors! Here is my problem: A hole is 33 feet deep and 3 feet in circumference. How many yards of concrete will it take to fill it? Thanks! NR Click here to see answer by jim_thompson5910(28595)

 Question 74943: The volume of a cylindrical tank is given by the formula V =πh r2 where h is the height of the cylinder and r is its radius. Find the volume to the nearest tenth of a cubic foot of a cylindrical tank that has a radius of 3 feet and a height of 5 feet. A bacteria culture started with a count of 720 at 8:00 A.M., and after t hours is expected to grow to f(t)=720(3/2)t. Estimate the number of bacteria in the culture at 11:00 A.M. the same day. Click here to see answer by funmath(2925)

 Question 77337: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3. Click here to see answer by ptaylor(2048)

 Question 77784: the volume of a cylinder is 300cm cubed If the height of the cylinder is 15cm how do i calculate the radius Click here to see answer by ptaylor(2048)

 Question 77887: Geometry. The volume of the box is represented by(x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box. One side has x+2 next to it. Click here to see answer by ptaylor(2048)

 Question 79787: I need to find the volume of a right circular cylinder the height is 5 inches and radius is 2 inches. Click here to see answer by tutor_paul(490)

 Question 80750: 16: What is the volume of a right cylinder with radius 4 cm and height 3 cm? (BLANK) (pi) cm3 Click here to see answer by dolly(163)

 Question 80757: FAA REVIEW 27: What is the volume of a right cone with radius 3 and height 4? ___ (pi) cubic units Click here to see answer by vertciel(183)

 Question 77087: Geometry. The volume of the box is represented by(x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box. One side has x+2 next to it. Click here to see answer by vertciel(183)

 Question 49721: I'm having a hard time with there only being one # (8")to try to figure out the volume of the problem. Please try to explain it more clearly so I can understand. Thank you, Tracy Click here to see answer by vertciel(183)

 Question 81482: how do i find the volume of a hexogonal cynlinder Click here to see answer by scott8148(6628)

 Question 81895: A cylinder has a radius of 5 in. If the volme of the cylinder is 250 in.3, what is the height of the cylinder? Click here to see answer by tutor_paul(490)

 Question 82187: Hello everyone, Find the amount of water, in litres, discharged in 10 minutes from a pipe, 4 cm in diameter measured internally, if the water flows at a speed of 50 cm per second. (pi = 3.14) Please check to see if I have computed the right answer. Thanks in advance. ----- My Work: If the water flows at 50 cm/s and the pipe's diameter is 2 cm, the volume of water being discharged = the volume of water that would fit in a cylinder with a height of 50 cm and radius 2. Volume of discharging water = (pi)(4)(50) = 628.32 cm^3 Therefore, 628.32 cm^3/s is being discharged --> 37699.2 cm^3/min --> 376992 cm^3/10 mins. Since 1 L = 1000 cm^3: 376992 cm^3/10 mins = 376.992 L/10 mins • In 10 minutes, 376.992 liters of water will be discharged from this pipe. Click here to see answer by stanbon(57377)

 Question 82476: The volume of a cylindrical tank is given by the formula V=nh r ^2 where h is the hieght of the cylinder and r is its radius. Fine the volume to the nearest tenth of a cubic foot of a cylindrical tank that has a radius of 3 feet and a height of 5 feet. Click here to see answer by jim_thompson5910(28595)

 Question 82703: how would you solve the problem: "The volume of a rectangular prism is 344 cubic centimeters. If the dimensions are halved, what is the volume of the figure in cubic centimeters?" Click here to see answer by stanbon(57377)

 Question 83267: The volume of a cylinder is given by v=πr2h Where r is radius of the cylinder and h is height of the cylinder. Suppose the volume of the cylinder is 100 cubic centimeters. Write h as a function of r. keep π in the functions equation Click here to see answer by Mona27(45)

 Question 83269: What is the measurement of the height of a cylinder if the radius is 2 Click here to see answer by checkley75(3666)

 Question 83570: Write the indicated equation for each geometric solid. 1.)The surface area of a cube with an edge of x centimetres long. I got the answer s=24x 2.)The volume of a cylinder with an height of 5 metres and a radius of x metres. I got the answer V=≈x^2*5 ≈ is pie (3.14). Click here to see answer by bucky(2189)

 Question 83754: A regular square pyramid is inscribed in a come with radius 4 cm. and height 4 cm. A. What is the volume of the pyramid? I know that the volume of the pyramid equals Lateral Area+Base, which is P being the perimeter of the base and L being the slant height. I am not able to get beyond this point on matter how hard I try. B. Find the slant height of the pyramid and the cone. I have tried at this one many times but have not been able to get anything. I know that the slant height forms a triangle with the radius and the height, but I do not know where to go from there. Please help me! Click here to see answer by stanbon(57377)

 Question 84398: A BUILDER IS ADDING A20'X28' ROOM TO AN EXISTING HOUSE. THE FLOORING CHOICES ARE AN 8"X8" TILE THAT COST \$0.98 PER TITLE ,OR A 12"X12" TITLE THAT COST \$1.98 PER TITLE. APPROX HOW MUCH WILL THE BUILDER SAVE BY USING THE LESS EXPENSIVE OPTION? NEED TO KNOW HOW TO SOLVE THIS PROBLEM Click here to see answer by checkley75(3666)

 Question 84898: The volume of a cube is 100m^3. Find the measure of one of its edges, s. Click here to see answer by checkley75(3666)

 Question 86389: ) 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 "" 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. Show graph here. Click here to see answer by jim_thompson5910(28595)

 Question 83753: A regular square pyramid with base edge 4 cm. is inscribed in a cone with height 6 cm. What is the volume of the cone? Click here to see answer by favegirl13(22)

 Question 87412: I need to find the volume of 24'* 36'*12inches deep Click here to see answer by terbear1963(43)

 Question 87946: if I have the height and volume of a cylinder, how do I find the radius? or diameter? Click here to see answer by bucky(2189)

 Question 90623: Please help me to solve this problem. What is the density (g/cm3) of a rectangular metal that is 2.0 meters long, 1.5 meters wide and stands 1.0 meters if it has a mass of 1800 grams? Click here to see answer by scott8148(6628)

 Question 90624: Please help me to solve this problem. A cylindrical glass tube closed at one end has a radius of 5 centimeters. It is filled with Mercury up to the brim. If the mass of the metal is about 300 grams and its density id 13.7 g/cm3, what is the height of the cylinder? Click here to see answer by scott8148(6628)

 Question 91558: find the volume of a square pyramid 15 in sides 12 in height Click here to see answer by praseenakos@yahoo.com(507)

 Question 91838: The area of one face of a cube is 25cm². Find (a) the volume of the cube, (b) the total length of all the edges of the cube Click here to see answer by stanbon(57377)
 Question 91838: The area of one face of a cube is 25cm². Find (a) the volume of the cube, (b) the total length of all the edges of the cube Click here to see answer by zerosignal(28)

 Question 90628: Please help me to solve this problem. 1,158 grams of gold is submerged into the graduated cylinder filled with 140 mL of water. The water level rises to 200 mL. What is the density of the gold? Click here to see answer by zerosignal(28)

 Question 90627: Please help me to solve this problem. 380 grams of liquid whose density id 0.95 g/cc is poured into the graduated cylinder. When 100 grams of metal is submerged into the liquid, the liquid level in the graduated cylinder rises to 450 cc. What is the density of the metal? Click here to see answer by zerosignal(28)

 Question 81326: what is the suface area of 4ft wide and 1ft deep and 1ft tall Click here to see answer by zerosignal(28)

 Question 76333: A cylindrical tank with diameter 60cm and length 150cm rests on its side. The fluid in the tank leaks from a valve that is 20cm off the ground. When no more fluid leaks out , what is the volume of the remaining fluid? Click here to see answer by zerosignal(28)

 Question 11909: How to find this formula sphere: diameter = 76.4 cylinder: diameter=16.2m, h=7.5m cone: d=9.5in, h=7in Click here to see answer by zerosignal(28)

 Question 92508: A cone has a base diameter 30 inches and a slant height of 12. Find the surface area of the cone. Click here to see answer by checkley75(3666)

 Question 92690: I am really bad at solving word problems. I am not sure how to make the equation and then solve it. Please help me. The volume of the box is represented by Find the polynomial that represents the area of the bottom of the box. Click here to see answer by Nate(3500)

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