Answer:
\(753.6 cm^{3}\)
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 : \(\frac{1}{3} \pi r^{2} h\)
Where r = radius of cone and h = height of cone and \(\pi = 3.14\)
So, the volume of ice cream cone :
⇒\(\frac{1}{3} \pi r^{2} h\)
⇒\(\frac{1}{3} *3.14*(6)^{2} *8\)
⇒\(\frac{1}{3} *3.14*36*8\)
⇒\(\frac{904.32}{3}\)
⇒\(301.44\)
Thus the volume of cone is \(301.44 cm^{3}\)
Now formula of volume of sphere :
\(\frac{2}{3} \pi r^{3}\)
r = radius = 6 cm
\(\frac{2}{3} *3.14*(6)^{3}\)
\(\frac{2}{3} *3.14*216\)
\(\frac{1356.48}{3}\)
\(452.16\)
Thus the volume of the hemisphere is \(452.16cm^{3}\)
Now , Since we know that
Volume of the toy Ice cream cone = VOLUME OF CONE + VOLUME OF HEMISPHERE .
⇒ 301.44 +452.16
⇒ \(753.6 cm^{3}\)
Hence, The volume of the toy Ice cream cone is \(753.6 cm^{3}\)
