A cylinder has a radius of $$\frac{8}{\pi}$$ cm and its volume is 448 cm$$^3$$. What is the height of the cylinder (take $$\pi$$ = $$\frac{22}{7}$$​)?​

Correct option is C

Given:
Radius r = $$\frac{8}{\pi}$$​ cm

Volume of the cylinder = 448 cm³

​$$\pi = \frac{22}{7}$$​

Formula Used:

Volume of a cylinder is given by the formula:

V = $$\pi r^2 h$$​

where r is the radius and h is the height.​​

Solution:

V = 448 cm³, r = $$\frac{8}{\pi}$$​ cm, and $$\pi = \frac{22}{7}$$​​

448 = $$\pi \times \left(\frac{8}{\pi}\right)^2 \times h$$​​

448 = $$\pi \times\frac{64}{\pi^2} \times h$$​​

448 = $$\frac{64}{\pi} \times h$$​

h $$\times \space 64$$ = $$448\space \times \pi$$​​

h =  7 $$\pi$$

h = 7 $$\times \space \frac{22}{7}$$

h = 22 cm

Thus, the correct option is (c) 22 cm.