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barxatty [35]
2 years ago
8

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. 4m,13m

,4m

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
3 0

Answer:

B

Step-by-step explanation:

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x
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Answer with explanation:

The equation of two curves are

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When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

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3 years ago
Help please <br><br> Help please
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Answer:

The 3rd option

Step-by-step explanation:

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