Question

a sugar cone has a height of 4.6 inches and a radius of 1.7 inches how many cubic inches of ice cream will fit inside the cone?

Answer 1

Given the radius (r) and the height (h) of the sugar cone:

`\begin{gathered} r=1.7\text{ }in \\ h=4.6\text{ }in \end{gathered}`

You can find the number of cubic inches that will fit inside the cone, by applying the formula for calculating the volume of a cone:

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

Where "r" is the radius and "h" is the height.

Then, by substituting values into the formula and then evaluating, you get:

`V=\frac{\pi(1.7\text{ }in)^2(4.6\text{ }in)}{3}`
`V\approx13.92\text{ }in^3`

Hence, the answer is:

`13.92\text{ }in^3\text{ \lparen approximately\rparen}`