rian likes to grow cactus plants in his kitchen window. He has read that around 90 percent of a actus's volume is used for water storage. He wondered which of two types of cacti in the window ould hold the most water, so he decided to estimate their volumes to make a comparison. Brian's neasurements are shown in the diagram below. d =4.5 cm 2.25 cm d= 8 cm h = 16 cm 13.75 cm h = 8 cm Column Cactus Barrel Cactus Assume that the shapes fill the given dimensions Don't tako into

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Brian likes to grow cactus plants in his kitchen window. He has read that around 90 percent of a
cactus's volume is used for water storage. He wondered which of two types of cacti in the window
could hold the most water, so he decided to estimate their volumes to make a comparison. Brian's
measurements are shown in the diagram below.
d = 4.5 cm
2.25 cm
d= 8 cm
h = 16 cm
13.75 cm
h 8 cm
Column Cactus
Barrel Cactus
Assume that the shapes fill the given dimensions. Don't take into account gaps or spines on the
surface when determining the volume. Calculate the approximate volume of each cactus using 3.14
for T.
Which statement best compares the volumes of the cacti?
O The barrel cactus has a volume of 268 cm. The column cactus has the greater volume at 1,065 cm.
O The column cactus has a volume of 205 cm. The volume of the barrel cactus is just slightly less at 201 cm
O The column cactus has a volume of 242 cm. The barrel cactus has the greater volume at 268 cm.
O The barrel cactus has the greater volume at 2,144 cm. The column cactus has a volume of 1,065 cm.
Transcribed Image Text:Brian likes to grow cactus plants in his kitchen window. He has read that around 90 percent of a cactus's volume is used for water storage. He wondered which of two types of cacti in the window could hold the most water, so he decided to estimate their volumes to make a comparison. Brian's measurements are shown in the diagram below. d = 4.5 cm 2.25 cm d= 8 cm h = 16 cm 13.75 cm h 8 cm Column Cactus Barrel Cactus Assume that the shapes fill the given dimensions. Don't take into account gaps or spines on the surface when determining the volume. Calculate the approximate volume of each cactus using 3.14 for T. Which statement best compares the volumes of the cacti? O The barrel cactus has a volume of 268 cm. The column cactus has the greater volume at 1,065 cm. O The column cactus has a volume of 205 cm. The volume of the barrel cactus is just slightly less at 201 cm O The column cactus has a volume of 242 cm. The barrel cactus has the greater volume at 268 cm. O The barrel cactus has the greater volume at 2,144 cm. The column cactus has a volume of 1,065 cm.
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