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1) A volume is described as follows: 1. the base is the region bounded by y=2−2/25x^2...

1) A volume is described as follows:
1. the base is the region bounded by y=2−2/25x^2 and y=0
2. every cross-section parallel to the x-axis is a triangle whose height and base are equal.
Find the volume of this object.
volume =

2) The region bounded by f(x)=−4x^2+24x+108, x=0, and y=0 is rotated about the y-axis. Find the volume of the solid of revolution.

Find the exact value; write answer without decimals.

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