. The right triangle below will be rotated 360° about line a to form solid A. Then, the same right triangle will be rotated 360° about line b to form solid B. 4 in. 5 in. 3 in. A. What type of solid is solid A? What type of solid is solid B? Predict which solid will have the greater volume. B. Find the volumes of both solids. Show all work and give your answers in terms of w. C. How much greater is the volume of the larger solid? Was your prediction correct?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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. The right triangle below will be rotated 360° about line a to form solid A. Then, the same right triangle will be
rotated 360° about line b to form solid B.
4 in.
5 in.
3 in.
A. What type of solid is solid A? What type of solid is solid B? Predict which solid will have the
greater volume.
B.
Find the volumes of both solids. Show all work and give your answers in terms of w.
C.
How much greater is the volume of the larger solid? Was your prediction correct?
Transcribed Image Text:. The right triangle below will be rotated 360° about line a to form solid A. Then, the same right triangle will be rotated 360° about line b to form solid B. 4 in. 5 in. 3 in. A. What type of solid is solid A? What type of solid is solid B? Predict which solid will have the greater volume. B. Find the volumes of both solids. Show all work and give your answers in terms of w. C. How much greater is the volume of the larger solid? Was your prediction correct?
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