an aluminum cylinder,of height h=20cm and of radius r=10cm estes with its base on a horizontal table Density of aluminum is P=2700kg/m3
calculate the weight of the cylinder take g=10N/kg

Respuesta :

Answer:

170 N

Explanation:

The weight of an object is equal to its mass times the acceleration due to gravity. The object's mass is equal to its density times its volume. Volume of a cylinder is equal to pi times the square of the radius times the height.

Relevant equations are:

W = mg

m = ρV

V = πr²h

where W is the weight,

m is the mass,

ρ is the density,

V is the volume,

r is the radius,

and h is the height.

Converting centimeters to meters, the volume of the cylinder is:

V = π (0.10 m)² (0.20 m)

V = 0.00628 m³

The mass of the cylinder is:

m = (2700 kg/m³) (0.00628 m³)

m = 17.0 kg

The weight of the cylinder is:

W = (17.0 kg) (10 N/kg)

W = 170 N

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