anonymous
  • anonymous
A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? A. 12 in3 B. 18 in3 C. 24 in3 D. 36 in3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@Mertsj
anonymous
  • anonymous
@SolomonZelman
Mertsj
  • Mertsj
Now let's think for a moment. What is the formula for the volume of a cone?

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More answers

anonymous
  • anonymous
1/3 pi(r)^2
Mertsj
  • Mertsj
Almost.
anonymous
  • anonymous
???
anonymous
  • anonymous
\[Vcylinder =πr^2h\]
anonymous
  • anonymous
oh "h"!!!!
Mertsj
  • Mertsj
\[V _{_{c}}=\frac{1}{3}\pi r^2h\]
Mertsj
  • Mertsj
What is the formula for the volume of a cylinder?
anonymous
  • anonymous
pi(r)^2(h)
Mertsj
  • Mertsj
Yes. How do the volumes compare?
anonymous
  • anonymous
The cone has 1/3
Mertsj
  • Mertsj
Or another way to say that is "the volume of the cylinder is 3 times the volume of the cone."
anonymous
  • anonymous
oh ok
Mertsj
  • Mertsj
Do you understand? Of course the radii and heights must be the same.
anonymous
  • anonymous
yes, but I am still confused how to figure out the volume of the cylinder so the cone can fit in it.
anonymous
  • anonymous
The question only gives me the volume of the cone, do I just multiply that number by 3? So 6 * 3 = 18?
anonymous
  • anonymous
Are you there? @Mertsj
Mertsj
  • Mertsj
yes and yes
anonymous
  • anonymous
ok so 18 is the answer?
anonymous
  • anonymous
Can I ask you another question?
Mertsj
  • Mertsj
yes. The idea is that if you have a cylinder and cone of equal radii and height, then 3 of the cones will fit in the cylinder.
anonymous
  • anonymous
ok
anonymous
  • anonymous
Hold on one sec, I have one more question
Mertsj
  • Mertsj
Are you going to post it or am I supposed to guess what it is?
anonymous
  • anonymous
Betty closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14 cubic inches per minute, how long will it take for all the liquid in the funnel to pass through the nozzle? (Use π = 3.14.) (1 point) 4.71 minutes 3.14 minutes 14.13 minutes 9.42 minutes
anonymous
  • anonymous
How do you upload an image?
Mertsj
  • Mertsj
We're talking about a cone here so just calculate the volume of the cone in cubic inches.
Mertsj
  • Mertsj
Divide that answer by 14 and that will be the number of minutes.
anonymous
  • anonymous
The image is a conical funnel
Mertsj
  • Mertsj
Find the volume of the cone.
anonymous
  • anonymous
the volume of the cone is 9.42, right?
Mertsj
  • Mertsj
What is the radius of the cone?
anonymous
  • anonymous
3 in
Mertsj
  • Mertsj
What is the height of the cone?
anonymous
  • anonymous
oh wait I forgot to multiply the height!
anonymous
  • anonymous
the height is 7 in
anonymous
  • anonymous
65.94 is the volume
anonymous
  • anonymous
I think the answer is 4.71 correct?
Mertsj
  • Mertsj
\[V=\frac{1}{3}(3.14)(3^2)(7)=65.94\in^3\]
anonymous
  • anonymous
ok that's what I got
Mertsj
  • Mertsj
\[\frac{65.94}{14}=4.71minutes\]
anonymous
  • anonymous
ok thanks!
anonymous
  • anonymous
Do you mind helping me with some more? I don't what to keep you though.

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