A bowl is obtained by rotating the curve y = x^4 for -2 ≤ x ≤ 2 about the y-axis.?
A bowl is obtained by rotating the curve y = x^4 for -2 ≤ x ≤ 2 about the y-axis.
a) What is the volume of the bowl?
b) Suppose the bowl is filled with a liquid with mass 4/pi grams per cubic centimeter, and that x and y are given in centimeters. What is the total mass of the liquid in the bowl?
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a 512pi/9 cm cube
b 2048pi/9 grams
You better search how to do similar types of calculation (solids of revolution) on the internet
cause it's really hard to explain without a whiteboard.