Question

Щоб витягти з колодязя відро води потрібно зробити 12 обертів вала. Знайдіть гдубину колодязя якщо діаметр вала дорівнює 32 см. Для спрощення обчислень вважайте що П=3

Answer 1

Ответ:

глубина колодца 23,04 м

Объяснение:

1 оборот вала = длине окружности

L=2πR

12 оборота вала = глубине колодца Н

Н =12× L=12×2πR

H=12×2×3×32=2304 (см)=23,04(м)

Answer 2

Given information:

- Number of rotations of the shaft (N) = 12 - Diameter of the shaft (D) = 32 cm - Value of pi (π) = 3 (for simplification purposes)

To find the depth of the well, we can use the formula for the circumference of a circle and the relationship between the circumference and the number of rotations.

The formula for the circumference of a circle is: C = π * D

We can rearrange the formula to solve for the diameter: D = C / π

Since we know the diameter and the number of rotations, we can calculate the circumference of the well using the formula: C = N * D

Substituting the value of D and N into the formula: C = 12 * 32 cm

Calculating the circumference: C = 384 cm

Now we can substitute the value of the circumference into the formula for the diameter: D = C / π

Substituting the value of C and π into the formula: D = 384 cm / 3

Calculating the diameter: D = 128 cm

Since the diameter of the well is equal to the diameter of the shaft, the depth of the well is equal to half the diameter: Depth = D / 2

Substituting the value of D into the formula: Depth = 128 cm / 2

Calculating the depth: Depth = 64 cm

Therefore, the depth of the well is 64 cm.