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kozerog [31]
3 years ago
11

HELP ASAP

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

<h3>b) A cylinder in which h = 3 and d = 6 has a volume of 27π in^3; therefore, Wilson is correct.</h3>

Step-by-step explanation:

\text{The formula of a volume of a cone:}\\\\V_{cone}=\dfrac{1}{3}\pi r^2H\\\\r-radius\\H-height\\\\\text{The formula of a volume of a cylinder:}\\\\V_{cylinder}=\pi r^2H}\\\\\text{If the cylinder and the cone have the same diameter,}\\\text{then have the same radius.}\\\\diameter\ d=2r\to r=\dfrac{d}{2}\\\\d=6\ in\to r=\dfrac{6}{2}=3\ in\\\\\text{Substitute:}\\\\V_{cone}=9\pi\ in^3,\ r=3\ in:\\\\9\pi=\dfrac{1}{3}\pi(3^2)(H)\\\\9\pi=3H\pi\qquad\text{divide both sides by}\ 3\pi\\\\3=H\to H=3\ in

\text{Calculate the volume of a cylinder:}\\\\V_{cylinder}=\pi(3^2)(3)=27\pi\ in^3

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Find integrate (1/(xsqrt(1+(lnx)^2)),1,e,x) ...?
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<span>Also, for the x in the numerator </span>

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<span>So </span>

<span>(x² + 2x + 3)/(x² + x + 3) = 1 + (x + 1/2)/[(x + 1/2)² + (√(11)/2)²] - 1/2/[(x + 1/2)² + (√(11)/2)²]. </span>

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<span>= arctan(e^x) + C.</span>
4 0
3 years ago
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