Question

In calculating the volume of a right circular cylinder, errors of 2% and 1%
are found in measuring height and base radius respectively. Then the
percentage error in calculated volume of the cylinder is
a)3 b) 1 c)2 d) 4​

Answer 1

Step-by-step explanation:

Reffer the attachment..

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Answer 2

The error in volume of the cylinder

is 4% , option D

Given

• right circular cylinder
• errors of 2% and 1%
• are found in measuring height and base radius.

To find

• percentage error in calculated volume of the cylinder

solution

we are provided with a right circular cylinder and the errors included when measuring the height and base radius of the cylinder. We are asked to estimate the percentage error which would reflect in calculation of its volume.

∆r/r × 100 = 1

∆h/h × 100 = 2

the equation of the volume of the cylinder is given by

V = πr^2 h

∆V/V = 2∆r/r + ∆h/h

or, ∆V/V ×100 = 2∆r/r × 100 + ∆h/h ×100

or, ∆V/V ×100 = 2 ×1 + 2

or, ∆V/V ×100 = 2 +2

or, ∆V/V ×100 = 4

Therefore, the error in volume of the cylinder

is 4%

Option D

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