A cylindrical glass tube 12.7cm in length is filled with mecury .the mass of mecury needed to fill the tube is 105.5g .calculate

Question

2 years ago

10

the inner diameter of the tube

1 answer:

jarptica [38.1K] · Answer 1 · 2023-10-04T17:55:23+03:00

The volume of the cylinder will be 7.76 cubic cm. Then the diameter of the cylinder will be 0.88 cm.

<h3>What is the volume of a right circular cylinder?</h3>

Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be

V = π r²h cubic units

A cylindrical glass tube 12.7cm in length is filled with Mercury. The mass of Mercury needed to fill the tube is 105.5 grams.

We know that the density of Mercury is 13.59 grams per cubic cm. Then the volume of the Mercury will be

13.59 = 105.5 / V

V = 7.76 cubic cm

Then the radius of the cylinder will be

V = π r²h

7.76 = 3.14 x 12.7 x r²

r = 0.44 cm

Then the diameter of the cylinder will be

d = 2r

d = 2 x 0.44

d = 0.88 cm

More about the volume of the cylinder link is given below.

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