a.
To find: The equation of parabola with y-intercept
a.
Answer to Problem 49RE
The equation of the parabola is
Explanation of Solution
Given:
A bundit cake has a hole of radius of two inches and outer radius of six inches at the base and the cross sectional is parabolic.
Calculation:
The equation of the parabola with y-intercept
Therefore, the equation of the parabola is
b.
To find: The volume of the cake and revolve the region about an appropriate line to generate the bundt cake.
b.
Answer to Problem 49RE
The volume is
Explanation of Solution
Given:
A bundt cake has a hole of radius six inches at the base, the height is five inches and the cross sectional is parabolic
Calculation:
The volume can be calculated by shifting the parabola found in above part in right so that the x-intercept becomes
Now, the following integral makes use of this technique.
Thus,
Therefore, the volume is
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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