The mass of the cylinder is 50,000 g. Find the density of the cylinder to the nearest tenth

answer choices

0.7 g/mm3

81.2 g/mm3

2.7 g/mm3

0.4 g/mm3

Density of the Cylinder = 2.7 g/mm³

Step-by-step explanation:

Density of a cylinder is calculated using the formula =

Mass of the Cylinder ÷ Volume of the Cylinder

Step 1

The First step is to find the Volume of the Cylinder.

Volume of a Cylinder = πr²h

In the attached image , we are given:

Diameter of the Cylinder = 28mm

Radius of the Cylinder = Diameter ÷ 2 = 28mm ÷ 2

Radius of the Cylinder (r) = 14mm

Height of the Cylinder (h) = 30mm

The Volume of the Cylinder = πr²h

= π × (14mm)² × 30mm

= 18472.564803 mm³

Step 2

The second step would be to find the Density of the Cylinder.

Density of the Cylinder = Mass of the Cylinder ÷ Volume of the Cylinder

Mass of the Cylinder = 50,000g

Volume of the Cylinder = 18472.564803 mm³

Density of the Cylinder = 50,000g ÷ 18472.564803 mm³

= 2.7067167193 g /mm³

Approximately the Density of the Cylinder = 2.7 g/mm³

step-by-step explanation:

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