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2 years ago

10

A cd tower is shaped like a cylinder and holds cds with a diameter of 4.75 inches. if the cd tower is 12 inches tall, what is it

s volume in cubic inches? use 3.14 for pi. round your answer to the nearest hundredth.

2 answers:

allochka39001 [22]2 years ago

8 0

Volume hold
= 3.14 × 2.375^2 × 12
= 212.54

USPshnik [31]2 years ago

5 0

I got 4 points
from
212.54 cubic inches
212.54 IS THE ANSWER

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Vadim26 [7]

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Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

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9514 1404 393

Answer:

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Step-by-step explanation:

We assume that point E lies on segment DF, so that ...

DE + EF = DF

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5x = 110 . . . . . . . . . . . . . . . collect terms, subtract 60

x = 22 . . . . . . . . . . . . divide by 5

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