Question

please show work clearly thank you

17 따 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 2R. Given that 100 cm' of batter costs 9e, 100 em' of frosting costs 27e, 100 cm2 of cardboard costs 1.5e, and 100 cm2 of plastic costs 3e, complete the tasks below on the next page. The following formulas may be helpful: Conical frustum: Hemisphere: SA-2Tr 2 SA (sides only)-π(R, + R.)s a. Create functions of R, which return the cost, in dollars, of ingredients, I, and packaging, P. Approximate all coefficients to 4 decimal places. ingredients. Round to 2 decimal places. Hints: Consider that Use the "intersect" graphing calculator tool to find R b. Find the volume of a baked cupcake if Grace wants 85% of the cost to go toward 1 85 P 15 c. Find the efficiency ratio for the packaging to the baked cupcake, to 2 decimal places. 38

Answer 1

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