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?
A cuboid of length 36 m, breadth 18 m and height 9m is melted and recast into a cube. Find the length of the diagonal of the cube.
18\(\sqrt{3}\) m
15\(\sqrt{3}\) m
12\(\sqrt{3}\) m
17\(\sqrt{3}\) m
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 \(\;k^{3} + \frac{1}{k^{3}}\)