Consider the figures, each with radius r. COS Which equation best relates the volumes of the three figures? O volume of sphere = volume of cylinder O volume of sphere = = 1 3 2 (volume of cylinder – 3 O volume of sphere = 2 (volume of cylinder O volume of sphere = 3 (volume of cylinder volume of cone volume of cone) volume of cone) volume of cone)

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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Question
Consider the figures, each with radius r.
"1
Which equation best relates the volumes of the three figures?
O volume of sphere = volume of cylinder
O volume of sphere = 2 (volume of
r
O volume of sphere =
O volume of sphere =
1
cylinder
2 (volume of cylinder -
2 (volume of cylinder
1
3
3 (volume of cylinder
●
-
volume of cone
volume of cone)
volume of cone)
volume of cone)
Transcribed Image Text:Consider the figures, each with radius r. "1 Which equation best relates the volumes of the three figures? O volume of sphere = volume of cylinder O volume of sphere = 2 (volume of r O volume of sphere = O volume of sphere = 1 cylinder 2 (volume of cylinder - 2 (volume of cylinder 1 3 3 (volume of cylinder ● - volume of cone volume of cone) volume of cone) volume of cone)
Marianne wants to ship her VHS tapes to a company that will digitize them. She has to pay for the shipping
costs. There are two possible shipping box sizes and costs. The table shows the cost of each box size.
Cost
$10.35
$13.95
Dimensions
Box Size
small box
large box
11 in. by 8.5 in. by 5.5 in.
12.25 in. by 12.25 in. by 6 in.
Which box has a lower cost per cubic inch, and what is the cost?
O The large box has a lower cost of approximately $0.015 per cubic inch.
O The large box has a lower cost of approximately $0.020 per cubic inch.
The small box has a lower cost of approximately $0.015
per cubic inch.
O The small box has a lower cost of approximately $0.020 per cubic inch.
3
Transcribed Image Text:Marianne wants to ship her VHS tapes to a company that will digitize them. She has to pay for the shipping costs. There are two possible shipping box sizes and costs. The table shows the cost of each box size. Cost $10.35 $13.95 Dimensions Box Size small box large box 11 in. by 8.5 in. by 5.5 in. 12.25 in. by 12.25 in. by 6 in. Which box has a lower cost per cubic inch, and what is the cost? O The large box has a lower cost of approximately $0.015 per cubic inch. O The large box has a lower cost of approximately $0.020 per cubic inch. The small box has a lower cost of approximately $0.015 per cubic inch. O The small box has a lower cost of approximately $0.020 per cubic inch. 3
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