CUET · MATHS · PYQ PAPER 2023
Approximate percentage increase in the volume of a sphere if its radius is increased by \(3 \%\) is:
- A \(3 \%\)
- B \(9 \%\)
- C \(4 \%\)
- D \(6 \%\)
Answer & Solution
Correct Answer
(B) \(9 \%\)
Step-by-step Solution
Detailed explanation
\(\frac{\Delta V}{V} \approx 3 \frac{\Delta r}{r}\). \(\frac{\Delta V}{V} \approx 3 \times 0.03 = 0.09\). Percentage increase \(= 0.09 \times 100\% = 9\% \).
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
- The mean number of heads in two tosses of a coin is:CUET 2023 Hard
- In 5 trials of binomial distribution, the probability of 3 successes is 4 times the probability of 2 successes.
The probability of success in each trial is :CUET 2025 Medium - A line passes through the point with position vector \(2 \hat{i}-\hat{j}+4 \hat{k}\) and is in the direction of the vector \(\hat{i}+\hat{j}-2 \hat{k}\). The equation of the line in Cartesian form is:CUET 2025 Medium
- If \(\vec{a}\) and \(\vec{b}\) are two non-zero orthogonal vectors, then \(|\vec{a}+\vec{b}|\) is equal to:CUET 2025 Hard
- The matrix \(A=\left[\begin{array}{lll}0 & 0 & 5 \\ 0 & 5 & 0 \\ 0 & 0 & 5\end{array}\right]\) is a:CUET 2023 Medium
- \(\int e^x\left(\tan ^{-1} x+\frac{1}{1+x^2}\right) d x\) is equal to :CUET 2023 Easy
More PYQs from CUET
- Number of hydrogen bond formed between adenine and thymine to connect each other is /areCUET 2023 Hard
- H-bond does not exist in:CUET 2023 Medium
- In an experiment, a student measures the terminal potential difference (\( V \)) of a cell (emf \( E \) and internal resistance \( r \)) as a function of current \( I \) and plots a graph with \( V \) on the y-axis and \( I \) on the x-axis.
The slope of the graph between \( V \) and \( I \) is:CUET 2023 Hard - Which one of the following plants is the source of cannabinoids commonly used in drug abuse?CUET 2023 Hard
- Threatened animals and plants are taken out from their natural habitat and placed in special settings, protected and given special care is.CUET 2023 Medium
- Match List I with List II.
Choose the correct answer from the options given below:LIST I LIST II A. Endemism I. Ex-situ conservation B. Alien species II. Variations in Rauwolfia vomitoriea C. Cryopreservation III. Species confined to a particular region D. Genetic diversity IV. Parthenium CUET 2023 Easy