Question

17. An ice cream shop sells cones that contain an average of 550 cm' of ice cream. Approximately how many cones can be made from one tub of ice cream? Vanilla Ice Cream 30 cm, 25cm, pie is 3.14

Answer 1

Given:

`\begin{gathered} \text{Vol}ume\text{ of ice cream=550}cm^3 \\ \end{gathered}`

From the image we have

`\begin{gathered} \text{Radius of tube=25}cm \\ \text{height of tube=30cm} \end{gathered}`

Then, we need to obtain the volume of the tube.

Since the tube is a cylinder, we use the volume of the cylinder

`\text{Volume}=\pi r^2h`

The Volume of tube becomes

`\begin{gathered} =3.14*25^2*30 \\ =3.14*625*30 \\ =58875cm^3 \end{gathered}`

Hence, the number of cones formed will be obtained by uisng

`\begin{gathered} \text{Number of cones=}\frac{\text{volume of tubes }}{volume\text{ of ice cream}} \\ \text{Where } \\ \text{volume of tubes}=58875cm^3 \\ volume\text{ of ice cream}=550cm^3 \end{gathered}`

Substituting, we have

`\text{Number of cones}=(58875)/(550)=107.05`

Hence

The number of cones formed will be 107