Question

Объём конуса 320псм^3,радиус основания 8 см. Вычислить площадь осевого сечения конуса

Answer 1

120см^2

Объяснение:

высота=320*3/8^2=960/64=15 см

площадь=(15*2*8)/2=120 см кв

Answer 2

Calculation of the Volume of a Cone

To calculate the volume of a cone, we can use the formula V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.

In this case, we are given that the volume of the cone is 320 cm^3 and the radius of the base is 8 cm. We need to find the height of the cone in order to calculate the area of the axial section.

Let's solve for the height of the cone using the given information:

320 = (1/3) * π * 8^2 * h

To find the value of h, we can rearrange the equation:

h = (320 * 3) / (π * 8^2)

Now, let's calculate the value of h:

h = (320 * 3) / (3.14159 * 8^2) ≈ 4.04 cm

Calculation of the Area of the Axial Section of the Cone

The area of the axial section of a cone can be calculated using the formula A = π * r * h, where A is the area, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.

In this case, we know that the radius of the base is 8 cm and the height is approximately 4.04 cm. Let's calculate the area of the axial section:

A = π * 8 * 4.04

Now, let's calculate the value of A:

A ≈ 101.92 cm^2

Therefore, the area of the axial section of the cone is approximately 101.92 cm^2.

Please note that the calculations provided are based on the given information and assumptions.