Respuesta :
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.
