Question

Площадь осевого сечения цилиндра равна 12 квадратных см ,а высота цилиндра-2 см.Найдите радиус основания

Answer 1

Площадь осевого сечения равна $S=2*R*h$, откуда радиус основания равен

$R=\frac{S}{2*h}=\frac{12}{2*2}=3$

ответ: 3 см

Answer 2

Finding the Radius of the Cylinder's Base

To find the radius of the base of the cylinder, we can use the formula for the area of the base of a cylinder, which is given by:

Area of the base = π * r^2

Given that the area of the base is 12 square cm and the height of the cylinder is 2 cm, we can substitute these values into the formula and solve for the radius (r).

Let's calculate the radius using the given information:

Area of the base = π * r^2 = 12 square cm

Height of the cylinder = 2 cm

To find the radius, we can rearrange the formula as follows:

r^2 = Area of the base / π

r^2 = 12 cm^2 / π

Now, let's calculate the value of r:

r = √(12 cm^2 / π)

Using a calculator, we can find the approximate value of r.

According to the search results, the formula for the area of the base of a cylinder is mentioned in Source However, the specific calculation for this problem is not mentioned in the search results.

Please note that the exact value of the radius will depend on the precision used for the value of π. In this case, we will use the approximate value of π as 3.14 for simplicity.

Let's calculate the approximate value of the radius:

r = √(12 cm^2 / 3.14)

Calculating this, we find that the approximate value of the radius of the base of the cylinder is 1.94 cm.

Please keep in mind that this is an approximate value and may vary depending on the precision used for π.

I hope this helps! Let me know if you have any further questions.