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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

Sagot :

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,

[tex]V=\frac{1}{3}\pi\times r^2\times h^{}[/tex]

Then,

There are given tha a diameter is 3.5,

So, Radius of the ice cream cone is,

[tex]\begin{gathered} r=\frac{diameter}{2} \\ r=\frac{3.5}{2} \end{gathered}[/tex]

Now,

Substitute the value in above formula,

So,

[tex]\begin{gathered} V=\frac{1}{3}\pi\times r^2\times h^{} \\ =\frac{1}{3}\times3.14\times(\frac{3.5}{2})^2\times6 \\ =\frac{1}{3}\times3.14\times(\frac{12.25}{4})^{}\times6 \\ =19.23 \end{gathered}[/tex]

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,

[tex]v=\frac{4}{3}\times\pi\times r^3[/tex]

Now,

The radius is,

[tex]\begin{gathered} r=\frac{d}{2} \\ =\frac{3.5}{2} \end{gathered}[/tex]

So,

[tex]\begin{gathered} v=\frac{4}{3}\times\pi\times r^3 \\ v=\frac{4}{3}\times3.14\times(\frac{3.5}{2})^3 \\ =\frac{4}{3}\times3.14\times5.36 \\ =22.44 \end{gathered}[/tex]

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