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muscrat123
 one year ago
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
muscrat123
 one year ago
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

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sepeario
 one year ago
Best ResponseYou've already chosen the best response.1What we have to do with this question is work backwards. Do you know the formula to find the volume of a cone?

muscrat123
 one year ago
Best ResponseYou've already chosen the best response.0yes. i know that i have to work backwards, i just got an answer not an answer choice

sepeario
 one year ago
Best ResponseYou've already chosen the best response.1What did you do to get your answer?

sepeario
 one year ago
Best ResponseYou've already chosen the best response.1Okay 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
 one year ago
Best ResponseYou've already chosen the best response.1So 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
 one year ago
Best ResponseYou've already chosen the best response.1I'm sorry if that's a bit hard to read but do you understand so far?

sepeario
 one year ago
Best ResponseYou've already chosen the best response.1Then we have \[251=3.14/3 * 15 * r^2\] \[251=(3.14*15)/3 * r^2\] \[251=15.7r^2\]

sepeario
 one year ago
Best ResponseYou've already chosen the best response.1\[251/15.7=r^2\] The radius squared approximately equals 16, and the radius hence is 4.

muscrat123
 one year ago
Best ResponseYou've already chosen the best response.0so the radius is 4?
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