The thick of a metallic tube is 1 CM and its outer radius is 11cm find the mass of such 1 meter long tube if the density of the metal is 7.5 g per cubic cm.
Answers
Step-by-step explanation:
To proceed, first let us view the tube vertically from above. We will notice it looks like a ring at its cross-section. We first need to find the area of this ring:
Area=π(R2−r2)
where R is the outer radius and r is the inner radius.
So Area = 3.14 × (11^2 - 10^2) = 3.14 × 21 = 65.94 sq. cm
Now to find the volume, we’ll have to understand that we just need to stack up these “rings” for the whole height of the tube like in the attachment
So volume = Area × height (or length, in this case)
= 65.94 sq. cm × 100 cm = 6594 cube cm or cm^3
Now, we also know that density is mass of a body divided by its volume. Hence, consequently,
Mass = Density × Volume = 7.5 × 6594 = 49,455 g or 49.455 kg.
Hope it helps :)
Answer:
Please refer to the above attachment Khushi di for your answer
Step-by-step explanation:
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