Question

Обхват цилиндрической колонны 100pi см. Найти объем колонны, если высота 6 м.

Answer 1

Не забываем приводить к одинаковым единицам размерности (я сам попался).
Находим радиус основания:

$R= \frac{L}{2 \pi}=\frac{100 \pi }{2 \pi}=50$ см $=0,5$ м

Находим объём:

$V= \pi R^2h=0,5^2\cdot6 \pi =1,5 \pi$ м²

Answer 2

Calculating the Volume of a Cylindrical Column

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

Volume = π * r^2 * h

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

Given that the radius of the cylindrical column is 100π cm and the height is 6 m, we can proceed with the calculation.

Calculation

First, we need to convert the height from meters to centimeters: - 6 meters = 600 centimeters

Now, we can calculate the volume using the formula: - Volume = π * (100π)^2 * 600 - Volume ≈ 9424777.36π cubic centimeters

So, the approximate volume of the cylindrical column is 9424777.36π cubic centimeters.

This calculation assumes that the radius provided is the actual radius of the base of the cylinder, and not the diameter.