A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles?
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OpenStudy (anonymous):
A. 27
B. 36
C. 53
D. 86
E. 98
OpenStudy (anonymous):
@amistre64 @Elise_a18
OpenStudy (anonymous):
@inowalst
OpenStudy (anonymous):
V = pi * r^2 * h
V = 3.14 * 0.5^2 * 3
Simplify
OpenStudy (anonymous):
2.355
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OpenStudy (elise_a18):
Srry I forget how to do this
OpenStudy (anonymous):
@Elise_a18 its fine
OpenStudy (anonymous):
Yes, now multiply the radius and height by 2 and 3 to find the measurements for the other cylinders.
2 * 0.5 = ?
2 * 3 = ?
3 * 0.5 = ?
3 * 3 = ?
OpenStudy (anonymous):
2 and 3 are the scale factors of the other 2 cylinders.
OpenStudy (anonymous):
1
6
1.5
9
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OpenStudy (anonymous):
?
OpenStudy (anonymous):
Yep, now find the volumes of those.
V = pi * r^2 * h
V = 3.14 * 1^2 * 6
V = pi * r^2 * h
V = 3.14 * 1.5^2 * 9
OpenStudy (anonymous):
@Smileyside
OpenStudy (anonymous):
18.84
63.585
OpenStudy (anonymous):
Yes, now add them all.
2.335 + 18.84 + 63.585
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OpenStudy (anonymous):
is that what i was suppose to do?
OpenStudy (anonymous):
2.355*
OpenStudy (anonymous):
=84.76
OpenStudy (anonymous):
Yes, just add them..and whichever option is closest to it is your answer.
OpenStudy (anonymous):
so 86?
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