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Troyanec [42]
3 years ago
14

A cone has a volume of 1808.64 cubic inches and a height of 12 inches. What is its radius?

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer: the radius is 11.997

Step-by-step explanation:

use the formula v= 1/3 *g*h

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You have $7000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want
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Answer:

1857.12 square meters

Step-by-step explanation:

Let L be the length of the rectangle and 'W' be the width

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cost=30(2L + 2W) +25( 2W)\\60L+60W+50W\\60L +110W

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Solve for L

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( \frac{700}{6} -\frac{11}{6} W)(W)\\A(W)=\frac{700}{6}W -\frac{11}{6} W^2

Now take derivative and set it =0

A(W)=\frac{700}{6}W -\frac{11}{6} W^2\\A'(W)=\frac{700}{6} -\frac{22}{6} W

set the derivative =0  and solve for W

0=\frac{700}{6} -\frac{22}{6} W\\\frac{700}{6}=\frac{22}{6} W\\W= 31.8

So width = 31.8 that gives maximum area

L=\frac{700}{6} -\frac{11}{6} (31.8)=58.4

Area = length  \cdot width = 31.8 \cdot 58.4= 1857.12 square meter

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