Question

Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.

please write the steps I really want to understand it

Answer 1

Start with V=(1/3)x(3.14)x(r-squared)x(h) This is the formula for the volume of a cone

Then plug in the values that you are given in the equation 83.74=(1/3)x(3.14)x(r-squared)x(5 inches)

Now combine "like terms" 83.74=(5.233333)x(r-squared)

Next you want to get "r" by itself, so by using order of operations we divide by 5.233333 on both sides and then you are left with 16=r-squared

Now to get rid of the "squared" you find the square root of both sides and you're left with 4=r

Now that you have the radius and the question is "what is the diameter" simply double the radius and so you are left with 8

The answer is 8 inches