Question

Ariel has a plastic ice cream cone in her food playset. The ice cream cone is half-sphere sitting on top of a cone. What is the approximate volume of the toy ice cream cone? Use 3.14 for (pie)
Radius 6cm
Height 8cm

Answer 1

The approximate volume of the toy ice cream cone is 753.60 cm³

Step-by-step explanation:

The ice cream cone is half-sphere sitting on top of a cone, that means

the radius of the base of the cone is equal to the radius of the

half sphere

To find the volume of the toy ice:

1. Find the volume of the cone

2. Find the volume of half sphere

3. Add the two volumes

∵ The volume of the cone = $\frac{1}{3}$ π r² h, where r is its

   radius and h is its height

∵ r = 6 cm , h = 8 cm and π = 3.14

∴ The volume of the cone = $\frac{1}{3}$ (3.14)(6)²(8)

∴ The volume of the cone = 301.44 cm³

∵ The volume of the sphere = $\frac{4}{3}$ π r³, where r is its

   radius

∴ The volume of the half sphere = $\frac{1}{2}$ × $\frac{4}{3}$ π r³

∴ The volume of the half sphere = $\frac{2}{3}$ π r³

∵ r = 6 cm and π = 3.14

∴ The volume of the half sphere = $\frac{2}{3}$ (3.14)(6)³

∴ The volume of the half sphere = 452.16 cm³

Add the two volumes to find the volume of the toy ice cream cone

∴ The volume of toy = 301.44 + 452.16

∴ The volume of toy = 753.60 cm³

The approximate volume of the toy ice cream cone is 753.60 cm³

Learn more:

You can learn more about the volume in brainly.com/question/12497249

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