A cone has a volume of 2,355 cubic inches and a height of 10 inches. How many inches is the diameter of the cone

Okay well first we right down what we already know:

- volume of 2,355 cubic inches  

- the height is 10 inches

Now we write down the equation for the volume of a cone:

V = πr²

lets plug in what we know into the equation                                      

2,355 = πr²

now we simplify to solve for r                          

2,355 / 10/3 = 706.5 = πr²                            

706.5/π = r²= 224.89

now since its r² we take the square root of 224.89                            

r = 15 inches

for diameter we multiply 15 by 2                            

diameter = 30 inches

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