Question

A horizontal cylindrical drum is 2.00m in diameter:

a) Calculate its volume using the formula for a cylinder
b) Determine the drum's circumference
c) Evaluate the lateral surface area
d) Measure the internal pressure of the drum

Answer 1

The internal pressure of a cylindrical drum filled with petroleum ether is calculated using density and gravity. The circumference of a drum can be found with the formula C = 2πr. Lateral surface area and volume calculations require the height of the cylinder, which is not given.

Step-by-step explanation:

The internal pressure of a horizontal cylindrical drum holding petroleum ether can be calculated by considering the density of the fluid and the height of the fluid column. The pressure applied by the fluid to the walls of the drum is isotropic and only depends on depth; however, for a horizontal cylinder fully filled with fluid, the pressure on the sidewalls would be equivalent to the pressure at the bottom.

To calculate the volume of the cylinder (V), we would use the formula V = πr²h, where r is the radius and h is the height of the cylinder. Given that the drum radius is 2.00m / 2 = 1.00m, and we are not provided with the height, further information would be needed to calculate the volume.

For the circumference (C), we would use the formula C = 2πr, which for a drum of 2.00m diameter (1.00m radius) would result in C = 2π(1.00) = 6.283m, approximately.

The lateral surface area (A) of the cylinder is given by A = 2πrh, which could be calculated if the height h was known.

To determine the amount of pressure exerted on the drum's walls and the floor by the petroleum ether, we use the density of the fluid (ρ = 680 kg/m³) and the height of the fluid column. The pressure (P) at the bottom of the drum is calculated using the formula P = ρgh, where g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the depth of the fluid.

Answer 2

To calculate the volume and circumference of the horizontal cylindrical drum, we need to know its height. Similarly, to evaluate the lateral surface area and measure the internal pressure of the drum, we need the height as well. The formulas for calculating these values are provided, but the missing information makes it impossible to calculate the answers.(option a)

Step-by-step explanation:

a) To calculate the volume of the drum, we can use the formula for the volume of a cylinder, which is V = πr²h. The diameter of the drum is 2.00m, so the radius is 1.00m. The height of the drum is not given, so we cannot calculate the volume without that information.

b) The circumference of the drum can be calculated using the formula C = 2πr. Substituting the given radius of 1.00m into the equation, we get C = 2π(1.00) = 2π m.

c) The lateral surface area of the drum can be calculated using the formula A = 2πrh. Since the height of the drum is not given, we cannot calculate the lateral surface area without that information.

d) The internal pressure of the drum can be determined using the equation P = ρgh, where P is the pressure, ρ is the density of the petroleum ether, g is the acceleration due to gravity, and h is the height of the drum. However, the height of the drum is not given, so we cannot calculate the internal pressure without that information.

Hecne, the answer is option a