SOLUTION: Hello, Can someone please help me find the volume of a cone with a height of 4m and a diameter of 2.2m? Thank you

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Question 71482: Hello,
Can someone please help me find the volume of a cone with a height of 4m and a diameter of 2.2m?

Thank you

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a (right circular) cone is given by:
V+=+%281%2F3%29Ah where A = the area of the circular base and h = the height of the cone (4m).
Let's find the area of the circular base whose diameter, D, is 2.2m.
Using 3.14 as an approximation of %28pi%29
A+=+%28pi%29r%5E2 But the radius, r+=+D%2F2, so:
A+=+%28pi%29%28D%2F2%29%5E2
A+=+%283.14%29%282.2%2F2%29%5E2
A+=+%283.14%29%281.21%29
A+=+3.8sq. m.
Now you can calculate the volume using the initial formula V+=+%281%2F3%29Ah
V+=+%281%2F3%29%283.8%29%284%29
V+=+5.1 Cu. m. Rounded to nearest tenth.