The radius of a right circular cylinder is five times of its height. If the height of the cylinder is 3.5 cm, then what is the volume of cylinder?
The following table shows the number of delivery partners (in 1000s) who joined 5 differrent companied during 6 different years.
| Year | Companies | ||||
| Emazon | Clipkart | Twiggy | Tomato | Pyntra | |
| 2016 | 2.4 | 4.5 | 1.2 | 0.9 | 4.2 |
| 2017 | 1.8 | 5.4 | 1.5 | 1.2 | 5.6 |
| 2018 | 3.2 | 7.2 | 2.4 | 2.1 | 6.3 |
| 2019 | 3.9 | 5.6 | 2.8 | 2.7 | 6.5 |
| 2020 | 4.2 | 6.4 | 3.2 | 3.3 | 7.0 |
| 2021 | 5.0 | 7.2 | 3.6 | 3.6 | 7.2 |
Find the percentage increase in the number of delivery partners that joined Pyntra from 2017 to 2021.
Simplify:
\(\;\frac{762 \times 762 \times 762 + 316 \times 316 \times 316}{762 \times 762 - 762 \times 316 + 316 \times 316}\)
If a man travels at \( \frac{1}{x} \) km/h on a journey and returns at \( \frac{1}{x^2} \) km/h, then his average speed for the journey is:
\(\;\frac{x+1}{x^{2}}\)
\(\;\frac{2}{x + x^{2}}\)
\(\;\frac{1}{x + x^{2}}\)
\(\;\frac{2x^{2}}{x+1}\)
If \(\;k^{4} + \frac{1}{k^{4}} = 194\) Then what is the value of \(\;k^{3} + \frac{1}{k^{3}}\)