Answer :
Answer:
A
Step-by-step explanation:
The volume of the cone is found using the volume formula for a cone [tex]V=\frac{1}{3}\pi r^2h[/tex].
Substitute h=8 and r = 12.
[tex]V = \frac{1}{3}\pi r^2h\\V = \frac{1}{3}\pi (12^2)(8)\\V=\frac{1}{3}\pi *144*8\\V = \frac{1152}{3}\pi \\V= 384\pi \\V=1,205.76[/tex]
So the volume is approximately 1,206 cubic cm.
Final answer:
To find the volume of a cone with specific height and radius, use the formula (1/3)πr²h and plug in the given values. In this case, the volume of the cone is approximately A) 1206 cm³.
Explanation:
The approximate volume of a cone can be found using the formula V = (1/3)πr²h. Given that the height is 8 cm and the radius is 12 cm, we plug these values into the formula to calculate the volume.
Substitute the values: V = (1/3) x 3.14 x 12² x 8. Calculate this expression to find the approximate volume of the cone.
Calculate the volume: V ≈ 1206 cm³. Therefore, the correct answer is A) 1206 cm³.
