TS EAMCET · Maths · Application of Derivatives
If an error of is found in the surface area of a sphere when its radius is measured as , then the approximate error that occurs in the volume of the sphere, in cubic centimetres, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Surface area of sphere, S=4πr2 ∆S=8πr∆r Given ∆S=0.02 sq.cm at r=10 cm So, ∆r=0.028π×10=0.0014π cm Volume of sphere, V=43πr3 i.e. ∆V=4πr2∆r…
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
- When \(\mathbf{R}\) is the set of all real numbers, \(\left\{x \in \mathbf{R}: \frac{\sqrt{12-x-x^2}}{x+10} \leq \frac{\sqrt{12-x-x^2}}{2 x+9}\right\}=\)TS EAMCET 2020 Easy
- Let \(\mathrm{p}_1, \mathrm{p}_2, \mathrm{p}_3\) be the altitudes of a triangle ABC drawn through the vertices \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) respectively. If \(r_1=4, r_2=6, r_3=12\) are the ex-radii of triangle ABC then \(\frac{1}{\mathrm{p}_1^2}+\frac{1}{\mathrm{p}_2^2}+\frac{1}{\mathrm{p}_3^2}=\)TS EAMCET 2025 Medium
- \(\int_{\frac{-3}{4}}^{\frac{\pi-6}{8}} \log (\sin (4 x+3)) d x=\)TS EAMCET 2024 Medium
- If where denotes the greatest integer less than or equal to thenTS EAMCET 2021 Easy
- The equation of the pair of transverse common tangents drawn to the circles \(x^2+y^2+2 x+2 y+1=0\) and \(x^2+y^2-2 x-2 y+1=0\) isTS EAMCET 2024 Hard
- A variable plane passes through a fixed point \((1,2,3)\). Then, the foot of the perpendicular from the origin to the plane lies onTS EAMCET 2013 Easy
More PYQs from TS EAMCET
- Twelve cells, each having emf \(E\) volts are connected in series and are kept in a closed box. Some of these cells are wrongly connected with positive and negative terminals reversed. This 12 cell battery is connected in series with an ammeter, an external resistance \(R\) ohms and a two-cell battery (two cells of the same type used earlier, connected perfectly in series). The current in the circuit when the 12-cell battery and 2-cell battery aid each other is 3A and is \(2 \mathrm{~A}\) when they oppose each other. Then, the number of cells in 12-cell battery that are connected wrongly is :TS EAMCET 2006 Hard
- The period of oscillation of a bar magnet at a place is 2 s. At the same place, the period of oscillation of another identical bar magnet whose magnetic moment is 4 times to that of first magnet isTS EAMCET 2023 Medium
- \(\mathrm{pH}\) of a buffer solution decreases by 0.02 units when \(0.12 \mathrm{~g}\) of acetic acid is added to \(250 \mathrm{~mL}\) of a buffer solution of acetic acid and potassium acetate at \(27^{\circ} \mathrm{C}\). The buffer capacity of the solution isTS EAMCET 2009 Hard
- What is the ratio of kinetic energy of 7 grams of nitrogen and 4 grams of oxygen at \(T(\mathrm{~K})\) ?TS EAMCET 2020 Medium
- A magnetic dipole is placed horizontally with the north pole pointing towards north. The horizontal component of earth's magnetic field is If the neutral point is found at a distance of in the plane bisecting the dipole then the magnetic moment of the dipole is
(Assume S.I. units)TS EAMCET 2021 Easy - \(\lim _{x \rightarrow \infty}\left[\frac{x^2+x+3}{x^2-x+2}\right]^x\) is equal toTS EAMCET 2016 Medium