DRAFT 2015 Julian Fleron, Philip Hotchkiss. Volker Ecke, Christine wn Renesse Figure 4.3: Gabriels Horn 89....
DRAFT 2015 Julian Fleron, Philip Hotchkiss. Volker Ecke, Christine wn Renesse Figure 4.3: Gabriels Horn 89. Classroom Diseussion: Can the volume and surface area of Gabriel's Horn and Wedding Cake be measured? Do you have prodictions about the size of these measus? 90. Describe the formialae for the volume and siuface area of a cylinder Find an expression, leaving π as a symbolic value without converting it to a decimal value, kr the volume of 91...the fist layer of the cake 92.the second layer of the cake 93. .the third laver of the cake 94. Describe the pattern you see in the measures of the volumes in the previous investigations Use it to determine expressions for the volumes of the next foar layers of the eake 95. Determine an infinite series that measures the volumne of the entire cake 96. Using a series that we have previously considered, find the exact volume of the cake 97. Find the total exposed aren of the tops of the cakes. (Hint: it's easy if you think about all of them together, otherwise it is hard.) Find an expresion, leaving π as a Ombolic value without converting it to a decimal value, fr the sarface area of the side of... 98.the first layer of the cake 99...the second layer of the cake 100. .the third laer of the cake 101. Describe the pattern you see in the measures of the surfaoe areas in the previous investigar tiotas. Use it to determine expeessions for the sarface areas of the next foar layers of the cake 58