So you know that the formula to find the volume of a cone is V=pi x r^2 x h/3
We know that pi is 3.14 so you plug that number in for the pi symbol. Then we know that r is the radius. Since the diameter is shown in the word problem divide 14.8/2 because the radius is half of the diameter. You should get 7.4 as your radius. Then we already know the height for h/3 which is 8.1. Now that you have all of the information given substitute the formula and you should get:
V=3.14(7.4)^2(8.1/3)
Multiply 3.14 times 7.4 to the second power in which you will get 171.3498
Then, divide 8.1 by 3 and then you should get 2.7.
Multiply 171 by 2.7 (btw I rounded 171.3498 to the nearest tenth) and your final answer should be about 464.
Hope this helps
And if I’m wrong please correct me.