Respuesta :
The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.
Step-by-step explanation:
The given is,
Composite figure is combination of a half sphere and cone
Both have a radius of 4 centimeters
The cone has a height of 15 centimeters
Step:1
Volume of composite figure = Volume of half sphere + Volume of cone
Step:2
Formula for volume of semi sphere,
[tex]Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}[/tex]
Where, r - Radius of Half sphere,
From given, r = 4 centimeters
[tex]V_{Half sphere} = \frac{2}{3} \pi 4^{3}[/tex]
[tex]= (0.6667) (3.14) (64)[/tex] (∵ [tex]\pi[/tex] = 3.14 )
[tex]V_{Half sphere}[/tex] = 133.9733 cubic centimeters
Formula for volume of cone,
[tex]Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h[/tex]
where, r - Radius of cone
h - Height of cone
From given,
r = 4 centimeters
h = 15 centimeters
Volume of cone,
[tex]V_{cone} = \frac{1}{3} \pi 4^{2}(15)[/tex]
[tex]= (0.333333) (3.14)(16)(15)[/tex] (∵ [tex]\pi[/tex] = 3.14 )
[tex]V_{cone}[/tex] [tex]= 251.1997[/tex] cubic centimeters
Step:3
Volume of composite figure = 133.9733 + 251.1997
Volume of composite figure = 385.17 cubic centimeters
Result:
The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.
Answer:
The volume of composite figure is 385.17 cubic centimeters
Step-by-step explanation:
EDG 2020
