Question

Радиус основания цилиндра 5 см, высота 6 см. Найдите площадь полной поверхности цилиндра. Срочно

Answer 1

Ответ:

≈345,4 см²

Объяснение:

Sполн=Sбок+2Sосн

Sбок=2πR*h=2*3,14*5*6≈188,4 см²

Sосн=πR²≈3,14*25≈78,5 см²

Sполн=188,4+2*78,5=345,4 см²

Answer 2

Calculation of the Surface Area of a Cylinder

To find the surface area of a cylinder, we need to calculate the sum of the areas of its two bases and the lateral surface area.

The formula for the surface area of a cylinder is:

Surface Area = 2πr² + 2πrh

Where: - r is the radius of the base of the cylinder - h is the height of the cylinder

In this case, the radius of the base is given as 5 cm and the height is given as 6 cm.

Calculation:

Substituting the given values into the formula, we have:

Surface Area = 2π(5)² + 2π(5)(6)

Simplifying the equation:

Surface Area = 2π(25) + 2π(30)

Surface Area = 50π + 60π

Surface Area = 110π

Now, let's calculate the numerical value of the surface area.

Calculation of the Numerical Value:

Using the approximation value of π as 3.14, we can calculate the numerical value of the surface area:

Surface Area ≈ 110 * 3.14

Surface Area ≈ 345.4 cm²

Therefore, the surface area of the given cylinder with a radius of 5 cm and a height of 6 cm is approximately 345.4 cm².

Please note that the numerical value is an approximation and rounded to one decimal place.