The Radius Of A Cylinder Is 5″ And The Lateral Area Is 70 Sq. In. Find The Length Of The Altitude.
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The Radius Of A Cylinder Is 5″ And The Lateral Area Is 70 Sq. In. Find The Length Of The Altitude.
Understanding basic geometry can be a daunting task. It can seem like a mountain of equations and calculations, but it doesn’t have to be! In this blog post, we’ll explain how to solve a common problem that involves the radius and lateral area of a cylinder. We’ll even provide an example calculation along the way. By the end, you’ll understand how to use this formula to find the length of the altitude of any cylinder given its radius and lateral area. Ready to learn more? Keep reading!
What is the radius of a cylinder?
If a cylinder has a base with a radius of r and an altitude (height) of h, then its lateral area is L = 2πrh and its total surface area is T = 2πr(h + r). The radius of the cylinder can be found using the following formula:
r = √((L/2π)² – h²)
What is the lateral area of a cylinder?
Assuming that you are given the radius and lateral area of a cylinder, you can find the length of the altitude by using the following equation:
Length of Altitude = Lateral Area / (2 * Radius)
Substituting in the known values, we get:
Length of Altitude = (Lateral Area) / (2 * Radius)
= (Sq. In.) / (2 * ″)
= 0.5 in.
What is the length of the altitude of a cylinder?
A cylinder has two flat, circular faces (called bases) and a curved surface (called the lateral surface). The altitude of a cylinder is the distance between its bases.
For a right cylinder, the altitude is simply the height of one of the bases. However, for an oblique cylinder, the altitude is the slant height of the lateral surface. To find the length of the altitude of an oblique cylinder, we must first find the slant height.
The slant height of an oblique cylinder can be found using the Pythagorean theorem. If we let h be the altitude, r be the radius, and s be the slant height, then we have:
h^2 + r^2 = s^2
h = sqrt(s^2 – r^2)
Therefore, to find the length of the altitude of an oblique cylinder, we must first calculate its slant height. Once we have that value, we can plug it into the equation above to solve for h.
How to find the length of the altitude of a cylinder?
The altitude of a cylinder is the perpendicular distance between the bases. To find the length of the altitude, we need to use the Pythagorean theorem.
If we take a slice of the cylinder along its altitude, we get a right triangle. The hypotenuse of this triangle is the length of the altitude, and the other two sides are the radius and lateral area. We can set up the following equation:
altitude^2 = radius^2 + lateral area^2
We can plug in our known values to solve for altitude:
altitude^2 = (″)^2 + (sq. in.)^2
altitude = √(+ ()) = √() = ″
Conclusion
In conclusion, we were able to solve this problem using basic math principles. We found out that the radius of a cylinder was 5” and the lateral area was 70 sq. in., which allowed us to calculate that the length of the altitude is 8”. This means that knowing just two measurements—the radius and lateral area—we can find any other measurement related to this object with ease.
Have you ever wondered how to calculate the length of the altitude of a cylinder when you know the radius and the lateral area?
It’s not as hard as it may seem!
In this blog post, we’ll be discussing the formula you need to calculate the length of the altitude of a cylinder when you know the radius and the lateral area.
Let’s say you have a cylinder with a radius of 5 inches and the lateral area is 70 square inches. The formula you’ll need to calculate the length of the altitude is as follows:
Length of Altitude = (2 x Lateral Area) / (π x Radius)
In this example, the length of the altitude is:
Length of Altitude = (2 x 70) / (π x 5)
Length of Altitude = 28.27 inches
So, when you have a cylinder with a radius of 5 inches and a lateral area of 70 square inches, the length of the altitude is 28.27 inches.
We hope this explanation helped you understand how to calculate the length of the altitude of a cylinder when you know the radius and the lateral area.