Question

Высота конуса равно 16 а длина образующей 34 найдите диаметр основания конуса

Answer 1

34в квадрате равно 16 в квадрате плюс икс в квадрате
когда найдёшь икс подставь в формулу (2π x^2)

Answer 2

Calculation of the Diameter of the Cone's Base

To find the diameter of the base of the cone, we need to use the given information about the height and the length of the slant height (also known as the "generatrix") of the cone.

Given: - Height of the cone (h) = 16 - Length of the slant height (generatrix) of the cone (l) = 34

To calculate the diameter of the base of the cone, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the other two sides (in this case, the height and the radius of the base).

The formula for the slant height of a cone is: l = √(r^2 + h^2)

where: - l is the slant height (generatrix) of the cone - r is the radius of the base of the cone - h is the height of the cone

Rearranging the formula, we can solve for the radius (r): r = √(l^2 - h^2)

Substituting the given values: r = √(34^2 - 16^2)

Calculating the value: r = √(1156 - 256) r = √900 r = 30

The radius of the base of the cone is 30 units. To find the diameter, we simply multiply the radius by 2:

The diameter of the base of the cone is 60 units.

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