Share

## The Radius Of A Cylinder Is 5″ And The Lateral Area Is 70 Sq. In. Find The Length Of The Altitude.

Question

Question

### A Square Measures 9 Inches On Each Side. What Is It’S Area Rounded Off To The Nearest Whole Number.

### Find Equations Of The Tangent Lines To The Curve Y=(X-1)/(X+1) That Are Parallel To The Line X-2Y=4

### The Roots Of The Function F(X) = X2 – 2X – 3 Are Shown. What Is The Missing Number? X = –1 And X =

### Let F Be The Function Defined By F(X)=X^3+X. If G(X)=F^-1(X) And G(2)=1 What Is The Value Of G'(2)

### What Is The Equation Of The Line, In Slope-Intercept Form, That Passes Through (3, -1) And (-1, 5)?

### Write The Expression As The Sine, Cosine, Or Tangent Of An Angle. Sin 48° Cos 15° – Cos 48° Sin 15°

### Find The Product Of Z1 And Z2, Where Z1 = 7(Cos 40° + I Sin 40°) And Z2 = 6(Cos 145° + I Sin 145°)

### What Is The First Step When Constructing An Angle Bisector Using Only A Compass And A Straightedge?

### Find Equations Of The Tangent Lines To The Curve Y=(X-1)/(X+1) That Are Parallel To The Line X-2Y=4

### What Method Would You Choose To Solve The Equation 2X2 – 7 = 9? Explain Why You Chose This Method.

### What Is The Value Of X In The Solution To The Following System Of Equations? X − Y = −3 X + 3Y = 5

### The Graph Of A Line Passes Through The Points (0, -2) And (6, 0). What Is The Equation Of The Line?

### Jim Measures The Side Of A Box And Finds It To Be 0.564 Meters Long. How Long Is It In Centimeters?

### State Whether The Given Measurements Determine Zero, One, Or Two Triangles. B = 84°, B = 28, C = 25

### If Sam Has 6 Different Hats And 3 Different Scarves, How Many Different Combinations Could He Wear?

### Which Statement Describes The First Step To Solve The Equation By Completing The Square? 3X2+18X=21

### A Two-Dimensional Object Is Called A Shape, And A Three-Dimensional Object Is Known As A ________

### Line Segment Gj Is A Diameter Of Circle L. Angle K Measures (4X + 6)°. What Is The Value Of X? X =

### Plot The Point Whose Polar Coordinates Are Given. Then Find The Cartesian Coordinates Of The Point

### Which Equation Is The Equation Of A Line That Passes Through (-10 3) And Is Perpendicular To Y=5X-7

### Given An Exponential Function For Compounding Interest, A(X) = P(.95)X, What Is The Rate Of Change?

### Using The Definition Of The Scalar Product, Find The Angles Between The Following Pairs Of Vectors.

### Write The Quadratic Equation In Standard Form And Then Choose The Value Of “B.” (2X – 1)(X + 5) = 0

### If Two Events A And B Are Independent And You Know That P(A) = 0.85, What Is The Value Of P(A | B)?

### Write The First Ten Terms Of A Sequence Whose First Term Is -10 And Whose Common Difference Is -2.

## Answers ( 2 )

## 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.