Tanelle is cutting out a paper banner as shown in the image. The entire piece of paper is 8 feet long and she is cutting a circl
e with a 1 foot diameter out of each of the 4 sections. (The circles are hemispheres, AKA half circles)
About how much paper will she need? Use 3.14 for pi and show your work.
About how much paper will she need? Use 3.14 for pi and show your work.
1 answer:
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I’m pretty sure this is right:
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,
Where, r - Radius of Half sphere,
From given, r = 4 centimeters
(∵
= 3.14 )
= 133.9733 cubic centimeters
Formula for volume of cone,
where, r - Radius of cone
h - Height of cone
From given,
r = 4 centimeters
h = 15 centimeters
Volume of cone,
(∵
= 3.14 )
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.