zoestickle
12.10.2020 •
Mathematics
A cylindrical can holds 24 cubic inches of soup. The can is 6 inches tall. What is the radius of the base of the soup can? Round your answer to the nearest hundredth of an inch.
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Ответ:
--> the altitude has been labeled a
1. (22)squared = (x)squared + (y)squared
2. (x)squared = (7)squared + (a)squared
3. (y)squared = (15)squared + (a)squared
To find the necessary components for 22 squared (x2 + y2), you can add the 2 formulas for xsquared and ysquared together to get:
(x)squared + (y)squared = (7)squared + (15) squared + 2(a)squared
This can be simplified to : (x)squared + (y) squared = 274 + 2(a)squared
Since 274+2(a)squared equals x2+y2, substitute this answer in for your first equation : 22 squared = 274 + 2(a)squared
simplify -- > 484 = 274 + 2(a)squared --> 210 = 2(a)squared
--> 105 = (a)squared --> square root of (105) = a