Question

Ariel has a plastic Ice cream cone in her food play set. The ice cream cone is a half sphere sitting on top of the cone. What is the approximate volume of the toy Ice cream cone? Use 3.14 for pie

Answer 1

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    $753.6 cm^{3}$

Answer 2

Volume of a half sphere:
Vs = 1/2 · 4/3 r³ π = 1/2 · 4/3 . 6³  · 3.14 = 452.16 cm³
Volume of the cone:
Vc = 1/3 · r² π = 1/3  · 36 · 3.14 = 301.44 cm³
Volume of the toy: Vs + Vc = 452.16 + 301.44 = 753. 60 cm³