MCQOPTIONS
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MCQOPTIONS
This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Differential and Integral Calculus Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Gabriel’s horn is formed when the curve ____________ is revolved around x-axis for x≥1. |
| A. | y = x |
| B. | y = 1 |
| C. | y = 0 |
| D. | y = 1/x |
| Answer» E. | |
| 2. |
What is the volume of the sphere of radius ‘a’? |
| A. | \(\frac{4}{3} πa \) |
| B. | 4πa |
| C. | \(\frac{4}{3} πa^2 \) |
| D. | \(\frac{4}{3} πa^3 \) |
| Answer» E. | |
| 3. |
What is the volume generated when the region surrounded by y = \(\sqrt{x}\), y = 2 and y = 0 is revolved about y – axis? |
| A. | 32π cubic units |
| B. | \(\frac{32}{5} \) cubic units |
| C. | \(\frac{32π}{5}\) cubic units |
| D. | \(\frac{5π}{32} \) cubic units |
| Answer» D. \(\frac{5π}{32} \) cubic units | |
| 4. |
What is the volume generated when the ellipse \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\) is revolved about its minor axis? |
| A. | 4 ab cubic units |
| B. | \(\frac{4}{3} a^2 b \) cubic units |
| C. | \(\frac{4}{3} ab \) cubic units |
| D. | 4 cubic units |
| Answer» C. \(\frac{4}{3} ab \) cubic units | |