muscrat123
  • muscrat123
The volume of a cone is 251.2 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14. 16 inches 8 inches 6 inches 4 inches
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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muscrat123
  • muscrat123
@dan815
Sepeario
  • Sepeario
What we have to do with this question is work backwards. Do you know the formula to find the volume of a cone?
muscrat123
  • muscrat123
yes. i know that i have to work backwards, i just got an answer not an answer choice

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Sepeario
  • Sepeario
What did you do to get your answer?
muscrat123
  • muscrat123
idek!
Sepeario
  • Sepeario
Okay let me show you how I would do it. Volume of cone = \[\frac{ 1 }{ 3 }\pi r^2 h\] (where r is radius and h is height).
Sepeario
  • Sepeario
So we could just substitute the values we already have to find the values that are unknown; \[251.2=\frac{ 1 }{ 3 } 3.14 * r^2*15\]
Sepeario
  • Sepeario
I'm sorry if that's a bit hard to read but do you understand so far?
muscrat123
  • muscrat123
yes
muscrat123
  • muscrat123
@Sepeario
Sepeario
  • Sepeario
Then we have \[251=3.14/3 * 15 * r^2\] \[251=(3.14*15)/3 * r^2\] \[251=15.7r^2\]
Sepeario
  • Sepeario
\[251/15.7=r^2\] The radius squared approximately equals 16, and the radius hence is 4.
muscrat123
  • muscrat123
so the radius is 4?
Sepeario
  • Sepeario
Yes.
muscrat123
  • muscrat123
so d?

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