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MHT CET 202624 AprilEvening Shift

Exam: MHT CET
Year: 2026
Date: 24 April
Shift: Evening Shift
Subject: Physics
Chapter: Mathematics in Physics

MHT CET 2026 · 24 April · Evening Shift · Physics · Mathematics in Physics

The error in measurement of radius of sphere is 0.2\ \% , then the...

The error in measurement of radius of sphere is

0.2\ \%

, then the percentage error in its volume is

Options

A $0.6\ \%$
B $0.8\ \%$
C $1.2\ \%$
D $1.0\ \%$

Correct answer

A. $0.6\ \%$

Step-by-step solution

The volume of a sphere is given by

V = \dfrac{4}{3}\pi r^3

Taking relative error on both sides, we get

\dfrac{\Delta V}{V} = 3 \dfrac{\Delta r}{r}

Percentage error in volume is

\dfrac{\Delta V}{V} \times 100 = 3 \left(\dfrac{\Delta r}{r} \times100\right)

Given percentage error in radius is

0.2\ \%

Therefore, percentage error in volume

= 3 \times0.2\ \% = 0.6\ \%

Answer:

0.6\ \%

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