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:

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

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

You might be interested in

Factor out the greatest common factor. <br><br> x^3-3x^2-x

Andrews [41]

Answer:

Factor out the greatest common factor.

x^3-3x^2-x

→ x(x^2-3x-1)

6 0

3 years ago

true or false? in order to inscribe a circle in a triangle, the circle's center must be placed at the center of the triangle

evablogger [386]

True, since the edge of circle is tangent to the length of triangle.

8 0

3 years ago

Read 2 more answers

What's the slope of 4x-5y+20=0

expeople1 [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

Situation:

salantis [7]

Answer:

Step-by-step explanation:

I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:

$28=100e^{-.0001t}$ and begin by dividing both sides by 100 to get

$.28=e^{-.0001t}$ . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.