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rewona [7]
4 years ago
9

Suppose there are n rectangular prisms stacked on top of each other in various ways to form one solid. Each has l = w and a heig

ht of h. Using Cavalieri's principle, what is the volume of the solid?
Mathematics
1 answer:
horsena [70]4 years ago
6 0
The volume of the resulting solid will be the volume of one rectangular prism times n.
The the volume of a rectangular prism is V=lwh. But since l=w (cross-section is a square), we now have V=l²h.

The volume of the resulting solid will be V = nl²h or V = nw²h.

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What are the least and greatest fractors of 45? of 36? of 60?​
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8 0
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A circle with a centre 0, has an equation x2 + y2 = 25
GaryK [48]

The linear equation of the tangent at point A is given by:

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<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
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In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:

2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0

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Then:

y = -\frac{4}{3}x + b

We use point (4,3) to find b, hence:

y = -\frac{4}{3}x + b

3 = -\frac{16}{3} + b

b = \frac{25}{3}

Hence, the equation is:

y = \frac{-4x + 25}{3}

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

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