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Step2247 [10]
3 years ago
9

6. The equation c = 523, 430(1.193)t models United States copper production in pounds from 1987 – 1992. Which statement best int

erprets the coefficient and base of this equation?
A) The copper production in 1987 was 523, 430 pounds, and it had been increasing at a rate of 1.93% per year during that period.
B) The copper production in 1987 was 523,430 pounds, and it had been increasing at a rate of 19.3% per year during that period.
C) The copper production increased by a factor of 523,430x1.193 pounds per year during that period.
D) The copper production at the beginning of 1987 was at 1.193 pounds, and it had been increasing by a factor of 523,430 pounds per year during that period.
Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

\text { Volume of a cylinder }=\pi r^{2} h

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e  

\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}

<em><u>Ratio for the volumes of two cylinders</u></em>

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}

Cancelling the common terms, we get

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)

Substituting we get,

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}

Hence, the ratio of volume of two cylinders is 8 : 27

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