A giant soda glass is formed by rotating the graph of

Question

f(x)= .03x^2+1.125, 0<=x<5
f(x)= -.2(x-5)^2+1.875, 5<=x<6
f(x).1(x-6)^2+1.675, 6<=x<=7
about the x axis

a) If the measurements are in inches, find the capacity of the glass in cubic inches
B) If 16.3787 cm^3=1in^3 and 1000cm^3=1 liter, will the glass hold more than .5 liters of soda? Justify your conclusion

I tried graphing the piecewise function and I did not understand how it could be revolved around the x axis or relate to this problem

Answer 1

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