Question

Объем цилиндра 8п корень из 6 а высота 2 корень из 5 чему равен радиус цилиндра

Answer 1

V = πR²H 
V = 8π√6
H = 2√5
R²  = V : (πH) = 8π√6 : (π·2√5) = 4√(6/5)
R = 2 корень 4-й степени из 6/5

Answer 2

Calculating the Radius of a Cylinder

To calculate the radius of the cylinder, we can use the formula for the volume of a cylinder and the given values for the volume and height.

The formula for the volume of a cylinder is given by: V = πr^2h

Where: - V = volume of the cylinder - r = radius of the cylinder - h = height of the cylinder

Given: - Volume, V = 8π√6 - Height, h = 2√5

We can calculate the radius of the cylinder using the given values.

Calculating the Radius

Using the formula for the volume of a cylinder, we can solve for the radius:

V = πr^2h

Given: - Volume, V = 8π√6 - Height, h = 2√5

We can rearrange the formula to solve for the radius, r: r = √(V / (πh))

Substituting the given values: r = √(8π√6 / (π * 2√5))

Simplifying: r = √(4√6 / √5) r = √(4 * √(6/5)) r = 2√(6/5)

Therefore, the radius of the cylinder is 2√(6/5).