Answer:
Step-by-step explanation:
B
Number of muffins sold=9
and number of pizza pies sold=15
The solid was obtained by rotating the region bounded by x² = 27y, x = 0, and y = 1 about the y-axis is 42.411 cubic units.
<h3>What is integration?</h3>
It is the reverse of differentiation.
Consider the solid obtained by rotating the region bounded by the given curves about the y-axis.

x = 0, and y = 1
Then the volume of the solid will be
![\rm Volume = \int _{0}^{1} \pi x^2 dy\\\\Volume = \int _{0}^{1} \pi 27y dy\\\\Volume = 27\pi \int _{0}^{1} \ ydy\\\\Volume = 27 \pi [\dfrac{y^2}{2}] _{0}^{1}\\\\](https://tex.z-dn.net/?f=%5Crm%20Volume%20%3D%20%5Cint%20_%7B0%7D%5E%7B1%7D%20%5Cpi%20x%5E2%20dy%5C%5C%5C%5CVolume%20%3D%20%5Cint%20_%7B0%7D%5E%7B1%7D%20%5Cpi%2027y%20dy%5C%5C%5C%5CVolume%20%3D%2027%5Cpi%20%5Cint%20_%7B0%7D%5E%7B1%7D%20%5C%20ydy%5C%5C%5C%5CVolume%20%3D%2027%20%5Cpi%20%5B%5Cdfrac%7By%5E2%7D%7B2%7D%5D%20_%7B0%7D%5E%7B1%7D%5C%5C%5C%5C)
![\rm Volume = 13.5 \times \pi \times [y^2] _{0}^{1}\\\\Volume = 13.5 \times \pi \times (1^2 - 0^2)\\\\Volume = 42.411 \ cubic \ units](https://tex.z-dn.net/?f=%5Crm%20Volume%20%3D%2013.5%20%5Ctimes%20%5Cpi%20%5Ctimes%20%5By%5E2%5D%20_%7B0%7D%5E%7B1%7D%5C%5C%5C%5CVolume%20%3D%2013.5%20%5Ctimes%20%5Cpi%20%5Ctimes%20%281%5E2%20-%200%5E2%29%5C%5C%5C%5CVolume%20%3D%2042.411%20%5C%20cubic%20%5C%20units)
More about the integration link is given below.
brainly.com/question/18651211
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Answer:
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