Question

7.Чому дорівнює об'єм конуса, якщо його твірна дорівнює 10 см, а діаметр основи 16 см?​

Answer 1

Решение:
ОВ=СВ/2=16/2=8см. Радиус конуса
∆АОВ- прямоугольный треугольник
По теореме Пифагора
АО=√(АВ²-ОВ²)=√(10²-8²)=6см высота конуса
V=π*OB²*AO/3=8²π*6/3=128π см³

Ответ: 128π см³

Answer 2

Calculating the Volume of a Cone

To calculate the volume of a cone, we can use the formula:

Volume = (1/3) * π * r^2 * h

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

In this case, we are given the diameter of the base of the cone, which is 16 cm. The radius can be calculated by dividing the diameter by 2:

Radius = Diameter / 2 = 16 cm / 2 = 8 cm

We are also given the slant height of the cone, which is 10 cm.

Now, we can substitute the values into the formula to calculate the volume:

Volume = (1/3) * π * (8 cm)^2 * 10 cm

Calculating this expression will give us the volume of the cone.