Question

A cylindrical glass bottle 21.5 cm in length is filled with cooking oil of density 0.953 g/mL. If the mass of the oil needed to fill the bottle is 1360 g, calculate the inner diameter of the bottle.

Answer 1

To calculate the inner diameter of the cylindrical glass bottle, we need to calculate the volume of the oil first. The volume of the oil can be found by dividing the mass of the oil by its density. Using the formula for the volume of a cylinder, we can find the inner diameter of the bottle.

Step-by-step explanation:

To calculate the inner diameter of the cylindrical glass bottle, we need to calculate the volume of the oil first. The volume of the oil can be found by dividing the mass of the oil by its density.

Given that the density of the oil is 0.953 g/mL and the mass of the oil is 1360 g, we can calculate the volume of the oil as follows:

Volume = Mass / Density = 1360 g / 0.953 g/mL = 1427.8 mL

Since the bottle is cylindrical, we can use the formula for the volume of a cylinder to find the inner diameter. The volume of a cylinder is given by the formula:

Volume = π × (radius)² × height

Since we know the volume and height of the bottle, we can rearrange the formula to solve for the radius:

radius = √(Volume / (π × height))

Plugging in the values, we get:

radius = √(1427.8 mL / (π × 21.5 cm))

radius ≈ 2.18 cm

Finally, the inner diameter of the bottle is twice the radius, so the inner diameter ≈ 2 × 2.18 cm = 4.36 cm.

Answer 2

Answer:inner Diameter =9.19cm

Step-by-step explanation:

Density is calculated as Mass/ Volume

therefore

Volume= Mass/ Density = 1360g/ 0.953g/ml=1,427 ml

1ml = 1cm³

1,427ml = 1,427cm³

Also We know that Volume of a cylinder = πr²h or πr²l

1,427cm³ = 3.142 x r² x 21.5 cm

r² = 1,427cm³/ (3.142 x 21.5cm)

r² =21.124cm²

`√(21.124)`= r²

r= 4.596cm

Diameter= 2 x radius

=2 x 4.596

=9.19cm