17. 38 baking Grace's bakery specializes in giant cupcakes. Each cardboard cupcake container is filled with...
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17. 38 baking Grace's bakery specializes in giant cupcakes. Each cardboard cupcake container is filled with batter and baked in the oven. The baked cupcake forms a perfect hemisphere on top of the container. The surface area of this is frosted. A clear plastic lid, identical in size and shape to the cupcake container, is then placed on top. These containers are designed such that R-R, and h-2R₁. Given that 100 cm³ of batter costs 94, 100 cm² of frosting costs packing 4 27¢, 100 cm² of cardboard costs 1.5¢, and 100 cm² of plastic costs 3¢, complete the tasks below on the next page. The following formulas may be helpful: Conical frustum: S= √(R₂-R₁)² +h² SA (sides only) - (R₁ + R₂)s v=ah (R² + R₂R₂ + R²) Hemisphere: SA-2.лr² 2 V=²r³ a. Create functions of R, which return the cost, in dollars, of ingredients, I, and packaging, P. Approximate all coefficients to 4 decimal places. b. Find the volume of a baked cupcake if Grace wants 85% of the cost to go toward ingredients. Round to 2 decimal places. I 85 Hints: Consider that Use the "intersect" graphing calculator tool to find R₁. c. Find the efficiency ratio for the packaging to the baked cupcake, to 2 decimal places. P 15 (work space for problem 17) a. I= b. volume = P = c. efficiency ratio= 1083 (over) 39 17. 38 baking Grace's bakery specializes in giant cupcakes. Each cardboard cupcake container is filled with batter and baked in the oven. The baked cupcake forms a perfect hemisphere on top of the container. The surface area of this is frosted. A clear plastic lid, identical in size and shape to the cupcake container, is then placed on top. These containers are designed such that R-R, and h-2R₁. Given that 100 cm³ of batter costs 94, 100 cm² of frosting costs packing 4 27¢, 100 cm² of cardboard costs 1.5¢, and 100 cm² of plastic costs 3¢, complete the tasks below on the next page. The following formulas may be helpful: Conical frustum: S= √(R₂-R₁)² +h² SA (sides only) - (R₁ + R₂)s v=ah (R² + R₂R₂ + R²) Hemisphere: SA-2.лr² 2 V=²r³ a. Create functions of R, which return the cost, in dollars, of ingredients, I, and packaging, P. Approximate all coefficients to 4 decimal places. b. Find the volume of a baked cupcake if Grace wants 85% of the cost to go toward ingredients. Round to 2 decimal places. I 85 Hints: Consider that Use the "intersect" graphing calculator tool to find R₁. c. Find the efficiency ratio for the packaging to the baked cupcake, to 2 decimal places. P 15 (work space for problem 17) a. I= b. volume = P = c. efficiency ratio= 1083 (over) 39
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Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
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