Answer:
[tex]753.6 cm^{3}[/tex]
Step-by-step explanation:
Given : The ice cream cone is a half sphere(hemisphere) sitting on top of the cone.
To Find : volume of the toy Ice cream cone.
Solution :
Refer the figure
We can see that radius of cone = radius of half sphere(hemisphere) = 6cm
Height of cone = 8 cm
Volume of the toy Ice cream cone = VOLUME OF CONE + VOLUME OF HEMISPHERE .
First calculate the volume of cone .
Formula of volume of cone : [tex]\frac{1}{3} \pi r^{2} h[/tex]
Where r = radius of cone and h = height of cone and [tex]\pi = 3.14[/tex]
So, the volume of ice cream cone :
⇒[tex]\frac{1}{3} \pi r^{2} h[/tex]
⇒[tex]\frac{1}{3} *3.14*(6)^{2} *8[/tex]
⇒[tex]\frac{1}{3} *3.14*36*8[/tex]
⇒[tex]\frac{904.32}{3} [/tex]
⇒[tex]301.44 [/tex]
Thus the volume of cone is [tex]301.44 cm^{3}[/tex]
Now formula of volume of sphere :
[tex]\frac{2}{3} \pi r^{3}[/tex]
r = radius = 6 cm
[tex]\frac{2}{3} *3.14*(6)^{3}[/tex]
[tex]\frac{2}{3} *3.14*216[/tex]
[tex]\frac{1356.48}{3} [/tex]
[tex]452.16 [/tex]
Thus the volume of the hemisphere is [tex]452.16cm^{3}[/tex]
Now , Since we know that
Volume of the toy Ice cream cone = VOLUME OF CONE + VOLUME OF HEMISPHERE .
⇒ 301.44 +452.16
⇒ [tex]753.6 cm^{3}[/tex]
Hence, The volume of the toy Ice cream cone is [tex]753.6 cm^{3}[/tex]
