Answer:
The exact volume of ice cream cone is [tex]\frac{16}{3}\pi+12\pi=\frac{52}{3}\pi [/tex] cm³
and approximate value of ice cream cone is 54 cm³
Step-by-step explanation:
Given : An ice cream cone with a cone of radius 2 cm and height of 9 cm with a hemisphere of ice cream on top of radius 2 cm.
We have to find the volume of the item described.
Below is the image of ice cream cone.
Volume of ice cream cone is given by volume of cone and volume of hemisphere.
Volume of cone = [tex]\frac{1}{3}\pi r^2h[/tex]
radius given (r) = 2 cm
Height (h) = 9 cm
Volume of cone = [tex]\frac{1}{3}\pi\cdot(2)^2\cdot 9[/tex]
Simplify, we get,
Volume of cone = [tex]12\pi[/tex]
Also, volume of hemisphere = [tex]\frac{2}{3}\pi r^3[/tex]
radius given (r) = 2 cm
volume of hemisphere = [tex]\frac{2}{3}\pi 2^3[/tex]
volume of hemisphere = [tex]\frac{16}{3}\pi [/tex]
Thus, The exact volume of ice cream cone is [tex]\frac{16}{3}\pi+12\pi=\frac{52}{3}\pi [/tex] and approximate value of ice cream cone is 54 cm³
