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# Piñata Project

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by

## YASH KARWAL

on 12 May 2017

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#### Transcript of Piñata Project

Piñata Project
The Outline
We created the sphere by using a balloon and paper mache. We then popped the balloon so it became hollowed out
Surface Area of 3D Piñata
SA = 5(2π(1.75)(8) + 2π(1.75)^2)
= 5(87.9645943 + 19.242255)
= 536.03 square inches
Volume of 3D Piñata
V = 5(π1.75^2(8))
=5(76.97)
= 384.85 inches cubed
We started off by making the center or body
While we were making the legs, we also started creating the head
Finally we made the tail and we hot glued and taped it together and added the finishing touches
By: Daniel Lee, Ethan Chavarin, Bob Jiang, and Yash Karwal
Cylinders ->
SA = 2(16 * 9) + 2(9 * 6) + 2(6 * 16)
= 588 square inches
Rectangular Prism ->
SA = 4π(8.5)^2
= 907.92 square inches
Sphere ->
Total
SA = 536.03 + 588 + 907.92
= 2031.95 square inches
Cylinders ->
V = 16 * 9 * 6
= 864 inches cubed
Rectangular Prism ->
V = 4/3π(8.5)^3
= 2572.44 inches cubed
Sphere ->
Total
V = 864 + 384.85 + 2572.44
= 3821.29 inches cubed
Scale Factor - 1/4 in = 2 in
Candy Calculations
1 Starburst = 3/4 * 3/4 * 1/4
Volume of body/volume of Starburst
Number of Candies = 864/ 0.140625
= 6,144 candies
Surface Area of 2D Outline
A = 5(2π(0.21875)^2 + 2π(0.21875)(1))
= 5 * 1.67510702
= 8.375535102 inches squared
Legs and Tail ->
A = 2((2 * 1.125) + (1.125 * 0.75) + (2 * 0.75))
= 8.34375 inches squared
Body ->
A = 4π1.0625^2
= 5.02429... inches squared
Total
A = 8.38 + 8.34 + 5.02
= 30.91 inches squared
Volume of Outline
Legs and Tail ->
V = 5(π(0.21875)^2(1))
= 5 * 0.150330117
= 0.751650586 inches cubed
Body ->
V = 2 * 1.125 * 0.75
= 1.6875 inches cubed