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

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b