Calculate the approximate mass in kg of 2-m length of cylindrical clay pipe of external and internal diameters 15cm and 12cm. The density of clay is 1.3g/cm3

Answer 1

To calculate the mass of the clay pipe, we first need to calculate the volume of the pipe.

The external radius of the pipe is half of the external diameter, so the external radius (Re) = 15cm / 2 = 7.5cm

The internal radius of the pipe is half of the internal diameter, so the internal radius (Ri) = 12cm / 2 = 6cm

The volume of the pipe can be calculated using the formula for the volume of a pipe: V = π * (Re^2 - Ri^2) * length

V = π * (7.5^2 - 6^2) * 200cm

V = π * (56.25 - 36) * 200cm

V = π * 20.25 * 200cm

V = 4049.5 cm^3

Next, we convert the volume to cubic meters (m^3) by dividing by 1,000,000 since 1 m^3 = 1,000,000 cm^3:

V = 4049.5 cm^3 / 1,000,000 = 0.0040495 m^3

Now, we can calculate the mass of the clay pipe using the volume and density. Mass = Volume * Density

Mass = 0.0040495 m^3 * 1.3 g/cm^3 = 0.00526535 kg

Therefore, the approximate mass of a 2-m length of cylindrical clay pipe with external and internal diameters of 15cm and 12cm is 0.00526535 kg.