Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain solution RD Sharma class 12 chapter 13 Differentials Errors and Approximations exercise multiple choice question 4 maths

Explain solution RD Sharma class 12 chapter 13 Differentials Errors and Approximations exercise multiple choice question 4 maths

Answers (1)

Answer: \text { (c) } 3 \alpha \%

               

Hint: Here, we all know the formula of volume of cylinder

            V=\pi r^{2} h

Given:

Percentage error in measuring height=3 \alpha \%

Solution:

Here, volume of cylinder, V=\pi r^{2} h

But here , h=r

So,     \begin{aligned} &V=\pi r^{2} \times r \\\\ & \end{aligned}

          V=\pi r^{3}

Let’s differentiate

        \frac{d V}{d h}=3 \pi h^{2}

Given percentage error in measuring height=3 \alpha \%

So,        \Delta h=\frac{\alpha h}{100}

Now, approximate error in measuring

\begin{gathered} V=d V=\left(\frac{d V}{d h}\right) \Delta h \\\\ =\frac{3 \alpha}{100} \pi h^{3} \\\\ =3 \alpha \% \text { of } V \end{gathered}

So, percentage error in measuring, 3 \alpha \%

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question