Find the volume of the cone in round figure. If the height and the slant height of a cone are 18 cm and 21 cm , respectively.

Correct option is B

Given
Height of the cone (h) = 18 cm
Slant height of the cone (l) = 21 cm

Formula Used
Radius squared ($$r^2) = l^2 - h^2$$​(Pythagoras theorem)
Volume of a cone = $$\frac{1}{3}\pi r^2 h$$​​

Solution
First, find the square of the radius ($$r^2$$​):
​$$r^2 = 21^2 - 18^2\\r^2 = 441 - 324 = 117$$​​
Now, calculate the volume using $$\pi \approx 3.14:$$​

​$$Volume = \frac{1}{3} \times 3.14 \times 117 \times 18 \\\ \\Volume = 3.14 \times 117 \times 6 \\\ \\Volume = 3.14 \times 702 = 2204.28$$​​
Rounding off to the nearest whole number gives $$2204 \ cm^3.$$​​

Final Answer
So the correct answer is ()