Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.1 Areas and Volumes by Slices, #30 · Calculus · Applications of integrals

(b) Recompute by removing a smaller pyramid from

Find the volume and draw a typical slice.

A pyramid $P$ has height 6 and square base of side 2. Its volume is $\frac{1}{3} (6) (2^{2}) = 8$ .

(a) Find the volume up to height 3 by horizontal slices. What is the length of a side at height $y$ ?

(b) Recompute by removing a smaller pyramid from $P$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.1 Areas and Volumes by Slices, #30

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