The volume (in $$cm^3$$​) of a wire of diameter 6 cm and length 7 m is:

take $$\pi = \frac{22}{7}$$​​

Correct option is A

Given:
Diameter of the wire = 6 cm
Length of the wire = 7 m
Formula Used:
The volume of a cylinder (which the wire resembles) is calculated using the formula:
​$$\text{Volume} = \pi r^2 h$$​​
where r is the radius and h is the height (or length) of the cylinder.
Solution:
$$\text{Length} = 7 \, \text{m} = 7 \times 100 = 700 \, \text{cm}$$​​
$$\text{Radius} = \frac{\text{Diameter}}{2} = \frac{6}{2} = 3 \, \text{cm}$$​​
$$\text{Volume} = \pi r^2 h = \frac{22}{7} \times (3)^2 \times 700$$​​
$$\text{Volume} = \frac{22}{7} \times 9 \times 700$$​​
$$\text{Volume} = 22 \times 9 \times 100 = 19800 \, \text{cm}^3$$​
Thus, option (a) is right.