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shutvik [7]
3 years ago
10

The diameter and height of this cylinder are equal to the side length, S, of the cube in which the cylinder is inscribed. What i

s the expression for the cylinder's volume?
A. `V=1/4piS^3`
B. `V=1/3piS^2`
C. `V=1/13piS^3`
D. `V=piS^2`
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Volume = πr²h

Diameter = S

Height = S

Radius = S/2

Volume = π ( s²/4 ) s

1/4 πs³

The required answer is in the option ( A )

Hope helps!

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Drupady [299]

Answer:

\large\boxed{y=-\dfrac{1}{5}x+\dfrac{3}{5}}

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\\=========================

\text{We have}\ y=5x+2\to m_1=5\\\\\text{therefore}\ m_2=-\dfrac{1}{5}.\\\\\text{Put the value of a slope and the coordinates of the given point}\ (-2,\ 1)\\\text{to the equation of a line}\ y=mx+b:\\\\1=-\dfrac{1}{5}(-2)+b\\\\1=\dfrac{2}{5}+b\qquad\text{subtract}\ \dfrac{2}{5}\ \text{from both isdes}\\\\1-\dfrac{2}{5}=\dfrac{2}{5}-\dfrac{2}{5}+b\\\\\dfrac{5}{5}-\dfrac{2}{5}=b\to b=\dfrac{3}{5}\\\\\text{Finally:}\\\\y=-\dfrac{1}{5}x+\dfrac{3}{5}

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Kamila [148]
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GarryVolchara [31]

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Step-by-step explanation:

we have

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using a graphing tool

see the attached figure

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so

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

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kifflom [539]

' 4 ' itself is a fine counterexample. 
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