A cone has a Volume of 108pi and a base diameter of 12. What is the height of the cone?

Given values are:

As we know the formula,

→  

By substituting the values, we get

Thus the above response is correct.

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The cone's height is 9

Step-by-step explanation:

Recall that the volume of a cone is: , where 'h' is the cone's height, and "r" the radius of its base.

In our case, we know that the volume of the cone equals; .

We also know the diameter of the base (12), so the radius of the base must be half of this: 6

Now we replace all known values in the formula for the volume, and solve for the unknown "h':

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9