How do you find the radius of a cylinder if you have the volume and height?

From the volume of cylinder formula, we can find the radius of the cylinder. The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.

How do you find the height of a cylinder if you know the radius?

They were all derived directly from the above equations.

1. Given height and volume: r = √(V / (π * h)) ,
2. Given height and lateral area: r = A_l / (2 * π * h) ,
3. Given height and total area: r = (√(h² + 2 * A / π) – h) / 2 ,
4. Given height and diagonal: r = √(h² + d²) / 2 ,

What is lateral surface area of cuboid?

The lateral surface area of a cuboid is the combined surface area of the four vertical faces. The lateral surface area of cuboid will be, L= S = 2 (lb + bh + lh) – (2 × l × b) = (2 × l × h) + (2 × b × h) = 2h(l + b).

Is square a lateral area?

The lateral area of a cube is also known as its lateral surface area (LSA). Since it is the area, it is measured in square units.

What is the surface area of a cylinder with base radius 2cm?

Question: What is the surface area of a cylinder with the base radius r = 2 cm and the height h = 3 cm? Answer: The base surface area equals 25.133 cm², the lateral surface area equals 37.7 cm², and the total surface area equals 62.83 cm².

How do you find the volume of a closed cylinder?

Calculate volume of a cylinder: V = πr 2h. Calculate the lateral surface area of a cylinder (just the curved outside)**: L = 2πrh. Calculate the top and bottom surface area of a cylinder (2 circles): T = B = πr 2. Total surface area of a closed cylinder is: A = L + T + B = 2πrh + 2(πr 2) = 2πr(h+r)

What is the lateral area of the cylinder?

The surface area of the cylinder is the sum of the areas of two congruent circles and a rectangle. The area of this rectangle is the lateral area of the cylinder. It is clear that the length of the rectangle is equal to the circumference of the base. Therefore, the lateral area of the cylinder is

What is the shape of a cylinder?

A cylinder is a three-dimensional solid that consist of two congruent surfaces (bases) and one lateral surface.