AP EAMCET · Maths · Application of Derivatives
If there is an error of \(\pm 0.04 \mathrm{~cm}\) in the measurement of the diameter of a sphere, then the approximate percentage error in its volume, when the radius is \(10 \mathrm{~cm}\), is
- A \(\pm 1.2\)
- B \(\pm 0.06\)
- C \(\pm 0.006\)
- D \(\pm 0.6\)
Answer & Solution
Correct Answer
(D) \(\pm 0.6\)
Step-by-step Solution
Detailed explanation
Given, \(\Delta r= \pm \frac{0.04}{2}=0.02\) Volume of sphere \[ V=\frac{4}{3} \pi r^3 \] On differentiating w.r.t. \(r\), we get…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(\alpha, \beta\) are the roots of \(x^2+b x+c=0, \gamma, \delta\) are the roots of \(x^2+b_1 x+c_1=0\) and \(\gamma < \alpha < \delta < \beta\), then \(\left(c-c_1\right)^2 < \)AP EAMCET 2019 Hard
- From consonants and vowels, how many words can be formed using consonants and vowels?AP EAMCET 2020 Medium
- If the vectors \(\mathrm{AB}=-3 \mathbf{i}+4 \mathbf{k}\) and \(\mathrm{AC}=5 \mathbf{i}-2 \mathbf{j}+4 \mathbf{k}\) are the sides of a \(\triangle A B C\), then the length of the median through \(A\) isAP EAMCET 2011 Easy
- The vectors \(\mathbf{A B}=3 \mathbf{i}-2 \mathbf{j}+2 \mathbf{k}\) and \(\mathbf{B C}=\mathbf{i}-2 \mathbf{k}\) are the adjacent sides of a parallelogram. The angle between its diagonals isAP EAMCET 2012 Medium
- The rank of \(\left[\begin{array}{ccc}1 & -1 & 1 \\ 1 & 1 & -1 \\ -1 & 1 & 1\end{array}\right]\) isAP EAMCET 2004 Easy
- In \(\triangle \mathrm{ABC}\), if ' \(\mathrm{S}\) ' is the circumcentre and ' \(\mathrm{O}\) ' is the orthocentre then \(\overline{O A}+\overline{O B}+\overline{O C}=\)AP EAMCET 2017 Medium
More PYQs from AP EAMCET
- In a \(\triangle A B C\), if \(a=4, b=5\) and \(c=7\), then
\[
\sin \left(\frac{A}{2}\right)=
\]AP EAMCET 2022 Easy - A body of mass \(\mathrm{I} \mathrm{kg}\) is suspended from a spring of negligible mass. Another body of mass \(500 \mathrm{~g}\) moving vertically upwards hits the suspended body with a velocity of \(3 \mathrm{~ms}^{-1}\) and gets embedded in it. If the frequency of oscillation of the system of the two bodies after collision is \(\frac{10}{\pi} \mathrm{Hz}\), the amplitude of the motion and the spring constant are respectively,AP EAMCET 2019 Hard
- A monochromatic light is incident on a single slit of width \(0.014 \mathrm{~mm}\). The angular position of the second bright line observed is \(2.81^{\circ}\). Then the wavelength of the incident light is \(\left[\sin \left(2.81^{\circ}\right)=0.049072\right]\)AP EAMCET 2022 Medium
- Select the correct order of radii of the given ionsAP EAMCET 2023 Easy
- The real part of the complex number \(z=\frac{5+2 i}{2-5 i}-\frac{3-4 i}{4+3 i}-\frac{1}{i}\), isAP EAMCET 2017 Easy
- In diborane, the number of 2-centre-2-electron bonds and 3 centre-2-electron bonds respectively are:AP EAMCET 2017 Easy