Question

4. Today's deal at the ice cream shop is a mini cone with one scoop of cream . a. A mini ice cream cone has a diameter of centimeters and height of 6 centimeters . How much cream fits in the cone? b. One scoop of ice cream has the same diameter as the cone, 3.5 centimeters. What's the volume ice cream

Answer 1

As per given by the question,

(a) There are given that diameter of the ice cream cone is 3.5 cm, and height is 6 cm.

Now,

Ftom the formula of the volume of the ce cream.

So,

`V=(1)/(3)\pi* r^2* h^{}`

Then,

There are given tha a diameter is 3.5,

So, Radius of the ice cream cone is,

`\begin{gathered} r=(diameter)/(2) \\ r=(3.5)/(2) \end{gathered}`

Now,

Substitute the value in above formula,

So,

`\begin{gathered} V=(1)/(3)\pi* r^2* h^{} \\ =(1)/(3)*3.14*((3.5)/(2))^2*6 \\ =(1)/(3)*3.14*((12.25)/(4))^{}*6 \\ =19.23 \end{gathered}`

Hence, the 19.23 cm ice cream fit in the cone.

(b). There are given that diameter of 1 scoop ice cream is 3.5 cm.

Then,

The formula of the one scoop ice cream is,

`v=(4)/(3)*\pi* r^3`

Now,

The radius is,

`\begin{gathered} r=(d)/(2) \\ =(3.5)/(2) \end{gathered}`

So,

`\begin{gathered} v=(4)/(3)*\pi* r^3 \\ v=(4)/(3)*3.14*((3.5)/(2))^3 \\ =(4)/(3)*3.14*5.36 \\ =22.44 \end{gathered}`

Hence, the volume of the one scoop ice cream is 22.44 cm.