Respuesta :
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 = [tex]\frac{1}{3}[/tex] 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 = [tex]\frac{1}{3}[/tex] (3.14)(6)²(8)
∴ The volume of the cone = 301.44 cm³
∵ The volume of the sphere = [tex]\frac{4}{3}[/tex] π r³, where r is its
radius
∴ The volume of the half sphere = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex] π r³
∴ The volume of the half sphere = [tex]\frac{2}{3}[/tex] π r³
∵ r = 6 cm and π = 3.14
∴ The volume of the half sphere = [tex]\frac{2}{3}[/tex] (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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