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V = pi*(r^2)*h is the formula for the volume of a cylinder. In order to solve for 'h' (or the height), do the following:
V = pi*(r^2)*h --> divide both sides of the equation by pi*(r^2) to get rid of pi*(r^2) on the right side of the equation.
V/(pi*(r^2)) = (pi*(r^2)*h)/(pi*(r^2)) --> cancel out the common term (pi*(r^2)) in the right side of the equation.
You are left with the original equation in terms of 'h':
h = V/(pi*(r^2))
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What is the total area of a cylinder?
The volume of a cylinder is equal to Pi times the square of the radius times the height of the cylinder. Pi*r2*h. Pi*r2 is the area of the base of a cylinder. The surface area of a cylinder is 2*Pi*r2+Pi*2r*h. 2*Pi*r2 is the area of the base of the cylinder times two to account for both bases. Pi*2r*h is the circumference of the base times the height of the cylinder
How do you find the radius of a cone knowing only the height and volume?
The volume v = (1/3) pi r2 h You just need to rearrange this to get r on its own. Multiply both sides by 3: 3v = pi r2 h Divide both sides by pi: 3v / pi = r2 h Divide both sides by h: 3v / (pi h) = r2 We get an answer for the radius which is the square root of 3v / (pi h)
How do you find the height of a cylinder?
The formula for the volume of a cylinder, which is h(pi)r2, is the area of the base (pi)r2 multiplied by the height (h). If you are given the diameter instead, remember that the diameter is twice the radius.So if we know that V = h(pi)r2, we can rearrange the formula in order to find the height.Divide the whole equation by (pi)r2. The result is: V ÷ (pi)r2 = h OR h = V ÷ (pi)r2.The formula h = V ÷ (pi)r2 means the height (h) is equal to the volume (V) divided by the area of the base (pi)r2.
How do you find the radius of a cylinder?
If you know the height and volume of the cylinder than you can find the radius. You also have to know the formula for volume 'V', which is pi multiplied by both the radius 'r 'squared and the height 'h', or V is equal to pi x r squared x h. The height h is equal to the volume divided by the radius squared and pi.
How do you find the diameter of a cylinder if the volume is 615.8 and the height is 4?
The formula for the volume of a cylinder is V = 2 * pi * r * h, where r is the radius, h is the height, and pi is 3.14159... Since the diameter is twice the radius, rewrite the formula as V = pi * d * h, solve for d, plug in your values, and compute.
How do you solve for the Radius r in the cylinder equation V equals πr²h?
Make r the subject of the formula pi*r2*h = V r = the square root of V/pi*h
How do you prove that the volume of a sphere is equal to the volume of a cone?
The volume of a cone is 1/3(h)(pi)(r2), where h is the height of the cone, pi is 3.1415 and r is the radius of the circle that forms the bottom. The volume of sphere is 4/3(pi)(r2) where pi is 3.1415 and r is the radius of the sphere. The (r2) means radius squared. If you put in the values of r for each and the value of h for the cone and solve the two equations, and the answers are the same, the volumes are the same. We can set the expression for the volume of a cone equal to the expression for the volume of a sphere. If, when we plug in the variables, they are equal, the volumes will be equal. Vcone = Vsphere 1/3 (h) (pi) (rc2) = 4/3 (pi) (rs2)
What is the total area of a cylinder?
The volume of a cylinder is equal to Pi times the square of the radius times the height of the cylinder. Pi*r2*h. Pi*r2 is the area of the base of a cylinder. The surface area of a cylinder is 2*Pi*r2+Pi*2r*h. 2*Pi*r2 is the area of the base of the cylinder times two to account for both bases. Pi*2r*h is the circumference of the base times the height of the cylinder
S equals 2пrh plus 2пr2 solve for h?
S = 2 pi r h + 2 pi r2S - 2 pi r2 = 2 pi r hh = (S - 2 pi r2) / (2 pi r)
How do you find square feet of a cylinder?
If you know the radius of its base and its height, then total surface area = 2*pi*r2 + 2*pi*r*h = 2*pi*r*(r + h) square units.
how do you solve h/9-19 = -10?
h is equal to 1 in that equation.
What is the volume of cone?
The volume of a cone is equal to 1/3*(pi)*r^2*h. r=radius pi=3.14 h=height
How do i find the height of a right cylinder the a surface area of 160 pi squared and a radius of 5?
The relevant equation is 2*pi*r*(r+h) = 160.Solve this for h.
Area of cone?
1/3*(pi*r square)*h
How do you find the total surface area of a cylinder?
2(pi r square)+(2 pi r)*h
How you calculate cylinder in square feet?
Measure the radius and height of the cylinder in feet (or other units and then convert). Total surface area = 2*pi*r2 + 2*pi*r*h = 2*pi*r*(r+h) square feet.
How do you find the radius of a cone knowing only the height and volume?
The volume v = (1/3) pi r2 h You just need to rearrange this to get r on its own. Multiply both sides by 3: 3v = pi r2 h Divide both sides by pi: 3v / pi = r2 h Divide both sides by h: 3v / (pi h) = r2 We get an answer for the radius which is the square root of 3v / (pi h)
