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2 years ago

Question 5 of 10

Mathematics

1 answer:

Dominik [7]2 years ago

8 0

Answer: Option A, B, E are correct.

A. 8^x •8^x = 64^x

B. 8^2x = 64^x

C. 8•8^2x = 8^{1 + 2x}

D.8^2•8^x = 8^{2 + x}

E. (8•8)^x = 64^x

F. 8•8^x = 8^{1 + x}

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1 Point

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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"

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<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,

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

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