Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.1 Areas and Volumes by Slices, #69 · Calculus · Applications of integrals

True or false, with a reason

True or false, with a reason.
(a) A cube can only be sliced into squares.
(b) A cube cannot be cut into cylindrical shells.
(c) The washer with radii $r$ and $R$ has area $π (R - r)^{2}$ .
(d) The plane $w = \frac{1}{2}$ slices a 3-dimensional sphere out of a 4-dimensional sphere $x^{2} + y^{2} + z^{2} + w^{2} = 1$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.1 Areas and Volumes by Slices, #69

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