Question

a cone has a diameter of 6 inches and a height of 8 inches. find the volume of the both in terms of pi and using 3.14 for pi.

Answer 1

Answer:

24π in³/75.36 in³

Step-by-step explanation:

We are looking for the volume of a cone with a diameter of 6 inches and a height of 8 inches.

First, divide the diameter by 2 to get the radius.

6 in/2 = 3-in. radius

Now, incorporate the formula for the volume of a cone. That is πr²h/3.

3.14 * 3² * 8/3

Square 3 to get 9.

3.14 * 9 * 8/3

Multiply 3.14 by 9 to get 28.26.

28.26 * 8/3

I recommend turning 28.26 into a improper fraction. That would be 1413/50.

1413/50 * 8/3

Can any cross-cancellation be done? Yes!

50 and 8 share a GCF of 2.

1413/25 * 4/3

1413 and 3 share a GCF of 3.

471/25 * 4/1

Multiply 471 by 4, and put it over 25.

1884/25

Simplify your answer.

75 9/25 = 75.36 in³, which is about 24π in³.