Problem 9. and cookies. A baker uses the same symmetric cookie cutter to make both cakes (a). When the center of the cutter is positioned at the distance 3 cm from the axis of rotation, and then rotated, it cuts a cake of the volume 14 cm². Find the area (in cm²) cut by the cutter on a flat dough. (b) Find the volume of the cake cut by rotating the cutter when its center is at the distance 2 cm from the axis of rotation. Assume that at this closer to the axis position, the cutter still does not touch the axis. f

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
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Problem 9.
and cookies.
A baker uses the same symmetric cookie cutter to make both cakes
(a). When the center of the cutter is positioned at the distance 3 cm from the axis of
rotation, and then rotated, it cuts a cake of the volume 14 cm³.
Find the area (in cm²) cut by the cutter on a flat dough.
(b) Find the volume of the cake cut by rotating the cutter when its center is at the distance
2 cm from the axis of rotation.
Assume that at this closer to the axis position, the cutter still does not touch the axis.
f
Transcribed Image Text:Problem 9. and cookies. A baker uses the same symmetric cookie cutter to make both cakes (a). When the center of the cutter is positioned at the distance 3 cm from the axis of rotation, and then rotated, it cuts a cake of the volume 14 cm³. Find the area (in cm²) cut by the cutter on a flat dough. (b) Find the volume of the cake cut by rotating the cutter when its center is at the distance 2 cm from the axis of rotation. Assume that at this closer to the axis position, the cutter still does not touch the axis. f
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