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motikmotik
3 years ago
8

An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 6 feet tall and has a base with a circumferen

ce of 21.352 ​feet, what is the volume of the​ sculpture? Use 3.14 for pi.
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0

Answer:

Step-by-step explanation:

Cone Volume = (π • r² • h) ÷ 3

109.9 = PI * 5 * radius^2 / 3

3* 109.9 / (3.14 * 5) = radius^2

329.7 / 15.7

radius^2 = 21

radius = 4.582575695

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Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

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Therefore, the woman has to live 1 mile from work to minimize the expenses

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Step-by-step explanation:

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ANSWER

See attachment.

EXPLANATION

The given function is

y =  \sqrt[3]{x + 1}  - 2

The parent function is

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The graph of this function is shown in the attachment.

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