Question

An ice cream cone has a radius of 3 inches and a height of 9 inches. What is the exact value of the volume of the ice cream cone?

3π in3

81π in3

9π in3

27π in3

Answer 1

27 π in³

Explanation:

Volume of cone = 1/3 πr²h

= π * 3 * 3 * 9 / 3

= π * 3 * 9

= 27 π in³

Answer 2

Answer: 27π in.³

Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone.

Volume =
`(1)/(3) \pi r^(2) h`

Notice that the cone has a radius of 3 inches and a height of 9 inches so plugging into the formula, we have
`((1)/(3)) (\pi) (3 in.)^(2)(9 in.)`.

Start by simplifying the exponent and moving π to the end.

So we have
`((1)/(3))(9 in.^(2))(9 in.)(\pi)`.

Next, notice that 3 in 1/3 and our height, 9, cross cancel to 1 and 3.

Now multiplying, (1) (9 in.²) (3 in.) is 27π in.³.

Therefore, the volume of the ice cream cone is 27π in.³.