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Circumscribed cylinder
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How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?
I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.
The diameter and the height of a cylinder are equal the volume is 2 meters cubed. what is the height of the cylinder?
d = r/2 = 1.3656 V = pi x (d/2)2 x h h = d/2 and V = 2 (d/2)2 times h = 2/pi 2/pi = 0.636619772
How do you find the lateral area of a cylinder?
The area A is equal to 2πrh, where r is the radius and h is the height.
How do you find the volume of a cilinder?
The volume of a cylinder is determined by the formula: volume = (pi sign) radius(squared) height. Since pi is equal to 3.142, then multiply the radius of the circular part of the cylinder and its height.
What is the volume of a cylinder with a radius equal to 4.4 meters and height equal to 67.8 meters?
Volume = pi*4.42*67.8 = 4123.67965 cubic meters
A right circular cylinder has a height h which is equal to twice the cylinder's diameter In terms of h what is the volume of the cylinder?
Volume of the cylinder: pi*radius*radius*height
A rectangular piece of sheet iron 625cm squared in area to form a cylinder 9 cm in diameter. Find the height and the volume of this cylinder.?
First, find the surface area of the cylinder using the formula SA = pi * diameter * height The surface area of the cylinder will equal the area of the rectangular sheet. So you can then solve for the height of the cylinder, Height = 625cm2 / (pi * 9cm) = 22.1 cm Using the height and diameter of the cylinder we can find the volume with the following formula, Vol = (pi / 4) * (diameter)2 * height Vol = (pi/4)*(9cm)2 * 22.1cm = 1405.9 cm3
How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?
I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.
A circular base of a cylinder has a diameter of 14cm its height is 5cm taking pi to be 227 calculate its volume.?
Pi is a constant that is (roughly) equal to 3.14. You cannot arbitrarily take it to be 227! Area of a circle = pi*r2, where r = radius Volume of a cylinder = pi*r2*h, where h = height diameter = 2*r Therefore, r = diameter*1/2 Now, you have all the tools to calculate volume. This must be all illustrated in your textbook. Do your research first, which is called "studying".
The cylindrical can has a length of 18.00cm and diameter of 2.00cm what is the volume?
The volume of a cylinder is volume=((Pi)*radius^2)*height. Therefore it is equal to 1^2*pi=pi times height(18) =18pi cm cubed
What does volume of a cylinder equal if diameter equals 2.6 and height equals 0.75?
To find the volume, you need to find the area of the circular base, then multiply it by the height. The base is a circle, so use the equation A=pi*radius^2 (radius squared). So Area (A) = pi *1.3^2 (Use 1.3 since radius is half the diameter) Now multiply your answer for Area by the height (0.75), to give the volume of your cylinder.
What is the volume in cubic feet of a cylinder with a diameter of 14 ft and height of 24 ft?
The volume (v) of a cylinder is equal to its height (h) times its radius (r) squared times pi, and is expressed in cubic units. v = (h)(r)(r)(3.14) radius (r) is equal to one-half of diameter. For your question: v = (24 ft)(7 ft)(7 ft)(3.14) v = 3692.6 cubic feet
Which container will hold more A can that has a diameter of 4 inches and a height of 4.5 inches or a can that has a diameter of 3 inches and a height of 8 inches?
Their volumes are equal.
How do you get the height of a cylinder?
The height of a cylinder is equal to the area of its base (i.e. the area of the circle that makes up its base) multiplied by its height (h). Area of a circle = (pi)r2 Where pi equals approximately 3.142 and r represents the circle's radius. Taken together the formula for the height of a cylinder is (pi)r2h. Further answer Sorry, but the above is not correct. You'll notice that the formula for the height of a cylinder itself contains the height (h). So you're saying that you can only calculate the height when you know the height! In fact the question cannot be answered without having more information. The volume and the diameter would be a start.
The diameter and the height of a cylinder are equal the volume is 2 meters cubed. what is the height of the cylinder?
d = r/2 = 1.3656 V = pi x (d/2)2 x h h = d/2 and V = 2 (d/2)2 times h = 2/pi 2/pi = 0.636619772
What is the area of cylinder?
The area of a cylinder is equal to pi times radius squared times height. It helps to remember that it's simply the area of a circle times height.
What is the volume of a cylinder with a diameter of 14.4cm and a height of 1.35cm?
The formula for volume of a cylinder is: Volume = Pi x radius2 x height or Volume = Pi x radius x radius x height Pi is a constant equal to approximately 3.14 Therefore for your question Volume = 3.14 x 7.2 x 7.2 x 1.35 = 219.74976cm3 or 219.7cm3 rounded to one decimal place.
