3 years ago

6.Calcular: 2^3 ; (-2)^3; ; -2^3 *

Mathematics

1 answer:

olga2289 [7]3 years ago

5 0

Answer:

90-8y66697u

Step-by-step explanation

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A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x. Find the height of t

n200080 [17]

$\bf \textit{volume of a cylinder}\\\\
V_c=\pi r^2h\qquad 
\begin{cases}
r=radius\\
h=height\\
------\\
r=x\\
h=y
\end{cases}\implies V_c=x^2y\pi 
\\\\\\
\textit{volume of a cone}\\\\
V_n=\cfrac{\pi r^2h}{3}\qquad r=2x\implies V_n=\cfrac{\pi \cdot (2x)^2h}{3}
\\\\\\
V_n=\cfrac{\pi \cdot 2^2x^2h}{3}\implies V_n=\cfrac{4x^2h\pi }{3}\\\\
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$\bf V_c=V_n\implies x^2y\pi =\cfrac{4x^2h\pi }{3}\implies 3x^2y\pi =4x^2h\pi 
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\cfrac{3x^2y\pi }{4x^2\pi }=h\implies \boxed{\cfrac{3y}{4}=h}$

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3 years ago

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kobusy [5.1K]

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Step-by-step explanation:

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earnstyle [38]

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Step-by-step explanation:hope this help you ok

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