The plane intersects sections of equal area in the two solids. Are the volumes equal? Choose the correct answer below. O A. No. The two solids have equal areas at their bases but not at all heights. O B. No. Cavalieri's Principle can only be applied to cones and pyramids. O C. Yes. Using the formulas for the volume of a cylinder and cone, respectively, shows that the two solids have the same volume. O D. Yes. The two solids must have equal volumes by Cavalieri's Principle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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The plane intersects sections of equal area in
the two solids. Are the volumes equal?
Choose the correct answer below.
O A. No. The two solids have equal areas at their bases but not at all heights.
O B. No. Cavalieri's Principle can only be applied to cones and pyramids.
O C. Yes. Using the formulas for the volume of a cylinder and cone, respectively, shows that the two solids have the same volume.
O D. Yes. The two solids must have equal volumes by Cavalieri's Principle.
Transcribed Image Text:The plane intersects sections of equal area in the two solids. Are the volumes equal? Choose the correct answer below. O A. No. The two solids have equal areas at their bases but not at all heights. O B. No. Cavalieri's Principle can only be applied to cones and pyramids. O C. Yes. Using the formulas for the volume of a cylinder and cone, respectively, shows that the two solids have the same volume. O D. Yes. The two solids must have equal volumes by Cavalieri's Principle.
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