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JEE Main

Exam: JEE Main
Subject: Physics
Chapter: Mathematics in Physics

JEE Main · Physics · Mathematics in Physics

What is the error in measurement of the volume of a sphere if an...

What is the error in measurement of the volume of a sphere if an error in& measurement of its radius is& $1 %$ ?

Options

A1%
B $\dfrac{1}{2}$ %&
C3%
DNone of these

Correct answer

C. 3%

Step-by-step solution

$V = \dfrac{4}{3}\piR^{3}$ , So percentage error in volume is $\dfrac{∆ V}{V} \times 100 = 3\left(\dfrac{∆ R}{R} \times 100\right) = 3 %$

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