Question

Find the exact volume of a waffle ice cream cone with 15-in. Diameter and a height of 19 inches

Answer 1

volume of a cone:
`(1)/(3) \pi r^2h`
V=
`(1)/(3) * \pi *7.5^2*19=356.25 \pi`
My understanding is that to be exact, leave π as π, so the final answer is 356.25π in³

Answer 2

`V= (1425)/(4) \pi \\ V=1119`

Explanation:

We must find the volume of a cone, that is a definite geometric figure and has the formula to find its volume.

Cone Volume Formula

`V=(\pi .r^2.h)/(3)`

Data:

Height: 19 in

Diameter: 15-in

The diameter is twice the radius.

To find the radius of the cone we must divide the diameter by 2

`r=(15)/(2)=7.5 in`

Now we apply the formula

`V=(\pi .(7.5)^2.(19))/(3)`

We can express the result more accurately leaving the value of pi or we can approximate it by rounding the decimals

`V= (1425)/(4) \pi \\ V=1119`