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What is the volume of a cylinder with ends that are half spheres with a radius of 4 and has a height of 12?
Each half-sphere occupies a height of 4. Effectively, there is a full sphere of radius 4 and a cylinder of length 4. The volume of the sphere = 4/3πr³ = 4/3π4³ = 268.08 The volume of the cylinder = πr²h = π4² x 4 = 201.06 Total volume = 268.08 + 201.06 = 469.14 (2dp)
How do you find the volume of a irregular using a cylinder?
The volume of the cylinder is height * pi * radius squared. Fill up the cylinder with water. Pour it into the irregular. If it's not full yet, do it again as many times until it is. Count how many times you filled & poured the entire cylinder full of water. Multiply that number by the volume of the cylinder. (First part of answer) If you can only fit a portion of the last cylinder full of water into the irregular, measure how much water you have left in the cylinder. Multiply (1-portion left (a fraction less than 1)) times the volume of the cylinder to get the volume of the last bit used to fill up the irregular. (second part of answer) Add the two parts of the answer to get the final answer.
How many gallons of water for a pool that is 13 ft diameter and 3 ft 6 in deep?
Volume of a cylinder = (pi) (radius)2 (height)Radius = 6.5-ftHeight = 3-ft 6-in = 3.5-ftVolume = (pi) (6.5)2 (3.5) = 464.56 cubic feet = 3,475 gallons full to the brim.
How do you calculate volume of concrete placed in slump cone?
Calculate the volume of full cone. For this you need to reproduce the cone surface upto the point where radius becomes zero.Then deduct the volume of the portion which is cut from the full volume. You can't multiply the height to the average of bottom area and top area. Because area (pi.r^2) is the second degree function of radius, not first degree.
How many gallons of water in a pool 24 feet diameter and 3 feet deep?
The pool is a cylinder. Volume of a cylinder = (pi) x (radius)2 x (height or depth).Volume = (pi) x (12')2 x (3') = 432 pi cubic feet = 1357.17 ft3 = 10,152.3 gallons (rounded)That's the volume of the pool. I have no way of knowing how much water is in it.It could be empty, half empty, full of mud and old leaves, etc.
What is the volume of a cylinder with ends that are half spheres with a radius of 4 and has a height of 12?
Each half-sphere occupies a height of 4. Effectively, there is a full sphere of radius 4 and a cylinder of length 4. The volume of the sphere = 4/3πr³ = 4/3π4³ = 268.08 The volume of the cylinder = πr²h = π4² x 4 = 201.06 Total volume = 268.08 + 201.06 = 469.14 (2dp)
How do you find the Volume of a Silo?
To find the volume of a silo, you can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the silo base and h is the height of the silo. Measure these dimensions and plug them into the formula to calculate the volume.
How do you find the volume of a irregular using a cylinder?
The volume of the cylinder is height * pi * radius squared. Fill up the cylinder with water. Pour it into the irregular. If it's not full yet, do it again as many times until it is. Count how many times you filled & poured the entire cylinder full of water. Multiply that number by the volume of the cylinder. (First part of answer) If you can only fit a portion of the last cylinder full of water into the irregular, measure how much water you have left in the cylinder. Multiply (1-portion left (a fraction less than 1)) times the volume of the cylinder to get the volume of the last bit used to fill up the irregular. (second part of answer) Add the two parts of the answer to get the final answer.
How do you calculate fluid volume in a cylindrical container?
Capacity of the container = (pi) x (radius of the round end)2 x (height of the cylinder). That's the capacity of the container. If the volume of the fluid in it is really what you want, then you can use the same formula, but instead of the full height of the container, use only the height of the fluid column, i.e. what we professionals would technically refer to as the "depth".
What is the volume of liquid in a cylinder?
VariablesD = Cylinder diameter [L].Dbot = Cone bottom diameter [L].Dtop = Cone top diameter [L].h = Cone height [L].L = Cylinder length [L].T = Top width of liquid in cylinder [L].y = Liquid depth in sphere or cylinder [L].z = Horizontal to vertical side slope of cone. zDbot.Ø = Angle representing how full the cylinder is [radians or degrees]. An empty cylinder has Ø=0o, a cylinder with Ø=180o is half full, and a cylinder with Ø=360o is completely full.
How do you find the volume of a frustum?
If it is the frustum of a pyramid: The volume of a pyramid (with a square base) is: Length_of_base * Width_of_base * Height * 1/3 To get the volume of the frustum, subtract the volume of the top part (also a pyramid) from the full volume. <><><><> frustum of a cone the formula is (h*pi)/3*(r1^2+r2^2+r1*r2) this is where h = height r1= top radius r2=bottom radius
The coffee can is three fourths full The radius is 3in and the height is 8in tall How much coffee is in the can?
Volume of a cylinder = pi*r2*h You have r and h already. You should know what pi equals. Solve the equation and multiply your answer by .75, since the can is only 3/4 full. Remember to keep track of your units - you will end up with units of volume. You do the rest.
How many gallons of water for a pool that is 13 ft diameter and 3 ft 6 in deep?
Volume of a cylinder = (pi) (radius)2 (height)Radius = 6.5-ftHeight = 3-ft 6-in = 3.5-ftVolume = (pi) (6.5)2 (3.5) = 464.56 cubic feet = 3,475 gallons full to the brim.
How do you calculate volume of concrete placed in slump cone?
Calculate the volume of full cone. For this you need to reproduce the cone surface upto the point where radius becomes zero.Then deduct the volume of the portion which is cut from the full volume. You can't multiply the height to the average of bottom area and top area. Because area (pi.r^2) is the second degree function of radius, not first degree.
How do you figure the gallons of fuel in a horizontal cylinder tank?
The actual gallons of fuel would depend on how full the cylinder tank is. Here is the formula for calculating the maximum capacity of the tank.The formula for calculating the volume of a cylinder is V = πr2hV = volumeπ = PI (approximately 3.14)r = radius (half the diameter of the round portion of the tank)h = height (or length) of the tank
How many gallons of water in a pool 24 feet diameter and 3 feet deep?
The pool is a cylinder. Volume of a cylinder = (pi) x (radius)2 x (height or depth).Volume = (pi) x (12')2 x (3') = 432 pi cubic feet = 1357.17 ft3 = 10,152.3 gallons (rounded)That's the volume of the pool. I have no way of knowing how much water is in it.It could be empty, half empty, full of mud and old leaves, etc.
A circular tank is 12m in diameter and 7.5 m in height how much water does it hold when half full?
The formula for finding the volume of a cylinder is pi multiplied by radius squared multiplied by the height. So for this case it would be pi multiplied by 6 squared multiplied by 7.5. But since you want it when it is HALF full, you would divide by two, so the answer would be 135 multiplied by pi, or around 424 metres squared of water.
