Question

Радіус основи конуса дорівнює 5 см а твірна 8 см. Знайти площу повної поверхні даного конуса.

Answer 1

Ответ:

65см³

Объяснение:

Дано:

Конус

R=5см

L=8см

Решение

S=π*R(R+L)

S=5π(5+8)=5π*13=65π см³

Answer 2

Calculation of the Surface Area of a Cone

To find the surface area of a cone, we need to know the radius of the base and the slant height. In this case, the radius of the base is given as 5 cm, and the slant height is given as 8 cm.

The formula for the surface area of a cone is:

Surface Area = π * r * (r + l)

Where: - π is a mathematical constant approximately equal to 3.14159 - r is the radius of the base of the cone - l is the slant height of the cone

Let's substitute the given values into the formula and calculate the surface area.

Surface Area = π * 5 * (5 + 8)

Using the value of π as approximately 3.14159, we can calculate the surface area:

Surface Area = 3.14159 * 5 * (5 + 8)

Simplifying the expression inside the parentheses:

Surface Area = 3.14159 * 5 * 13

Calculating the multiplication:

Surface Area = 3.14159 * 65

Finally, calculating the product:

Surface Area ≈ 204.203 cm²

Therefore, the surface area of the given cone is approximately 204.203 cm².

Please note that the above calculation assumes that the slant height is the straight line distance from the apex (top) of the cone to any point on the circumference of the base. If the slant height is measured along the curved surface of the cone, the calculation may be different.