Question

Найдите площадь полной поверхности равностороннего конуса, если его образующая равно 8 см.

Answer 1

По формуле боковой поверхности конуса

$S_{bokovoy}=\pi*r*l$

$S_{osnovania}=\pi*r^2$

r- радиус основания конуса

r=8:2=4 см

l=8 см

Подставим в две вышеуказанные формулы r и l.

 $S_{bokovoy}=\pi*4*8$ см²

 $S_{bokovoy}=32\pi$ см²

$S_{osnovania}=\pi*4^2$ см²

$S_{osnovania}=16\pi$ см²

$S_{polnoy}=S_{osnovania}+S_{bokovoy}=32\pi+16\pi=48\pi$ см²

Ответ: $S_{polnoy}=48\pi$ см²

Answer 2

Finding the Surface Area of an Equilateral Cone

To find the surface area of a cone, we can use the formula: S = πr(r + l), where S is the surface area, r is the radius of the base, and l is the slant height of the cone.

Given that the forming of the cone is 8 cm, we can calculate the slant height using the formula: l = √(r^2 + h^2), where h is the height of the cone.

Calculating the Slant Height

Using the given forming of 8 cm, we can calculate the slant height: l = √(r^2 + h^2)

Solution

Given that the forming of the cone is 8 cm, we can calculate the slant height using the formula: l = √(r^2 + h^2)

Now, we can calculate the surface area using the formula: S = πr(r + l)

Let's proceed with the calculations.