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

Answer:inner Diameter =9.19cm

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

$\sqrt{21.124}$= r²

r= 4.596cm

Diameter=  2 x radius

=2 x 4.596

=9.19cm