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kakasveta [241]
3 years ago
7

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would

appreciate it!

Mathematics
1 answer:
frozen [14]3 years ago
4 0

Answer:

96π

Step-by-step explanation:

You will need the formula for the volume of a cone.

V=\frac{1}{3}πr^{2}h

r= 6 cm

To find the height, you need to use the Pythagorean theorem.

a²+ b² = c² (a and b are the 2 legs and c is the hypotenuse)

b = \sqrt{{c^{2}-a^{2} }

b= \sqrt{10^{2}-6^{2}  } = 8

h= 8 cm

remember PEMDAS!

V=\frac{1}{3}π(6)^{2}8

V=\frac{1}{3}π(36)8

V= π(12)8

V= 96π

Answering in terms of π is more accurate because it is actually infinite so when it gets rounded to 3.14, that is only an approximation of pi. (π is actually 3.1415926535897932384626433 etc.)

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Fynjy0 [20]

Answer:

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Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

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\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

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Hope it helps!

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