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My name is Ann [436]
3 years ago
7

a patio door is 72inches side. if a drawing of the door is made with a scale of 2 inches. = 3ft, what is the width of the door o

n the drawing?
Mathematics
1 answer:
bixtya [17]3 years ago
8 0
In this problem, the reference of the scale is referring to feet. Firstly, convert 72 inches to feet so that you can properly make the proportion.

72 inches = 6 feet

With the scale of 2 inches per 3 feet, we can set up an easy proportion to see how wide the door will be on the drawing.

3 feet 6 feet
——— = ————
2 inc. ‘x’ inc.

3x=12
X=4 inches

Solving the proportion by cross-multiplication reveals that the scale drawing of the patio door would be 4 inches wide.
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Answer:

So,  the volume is:

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We get the limits of integration:

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we get:

V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\V=\frac{64\sqrt{2}}{3}\cdot[\theta]_0^{2\pi}\\\\V=\frac{128\sqrt{2}\pi}{3}

So,  the volume is:

\boxed{V=\frac{128\sqrt{2}\pi}{3}}

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Without knowing what Juan's exact steps were, it's hard to say what he did wrong. The least you could say is that his solution is simply not correct.

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