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emmasim [6.3K]
3 years ago
7

A drum has a diameter of 26 inches and is 15 inches deep. Find the volume of this drum.

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

Answer: 7964.97 in³

Step-by-step explanation:

A drum is a cylinder. Therefore, we will have to calculate the volume of a cylinder which will be:

Volume = πr²h

where π = 3.142

r = Diameter/ 2 = 26/2 = 13

h = 15

Volume = πr²h

= 3.142 × 13² × 15

= 3.142 × 169 × 15

= 7964.97 in³

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In A, the first term is 456 and the common difference is 10.  Each time we have a new term, the next one is the same except that 10 is added.

Suppose n were 1000.  Then we'd have 456 + (1000)(10) = 10456

In B, the first term is 5 and the common ratio is 3.  From 5 we get 15 by mult. 5 by 3.  Similarly, from 135 we get 405 by mult. 135 by 3.  This is a geom. series with first term 5 and common ratio 3.   a_n = a_0*(3)^(n-1).
So if n were to reach 1000, the 1000th term would be 5*3^999, which is a very large number, certainly more than the 10456 you'd reach in A, above.

Can you now examine C and D in the same manner, and then choose the greatest final value?  Safe to continue using n = 1000.





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