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# The volume of a right circular cone is 768πcm ³ and the ratio of its base radius to its height is3:4, find the slant height of the cone?

1 answers

Answered Oct 18Maths

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So you need to use the formula of a cone which is V=pi * r^2 * h/3 you know the volume and the ratio so r/h=3/4, r=3h/4. So from the first formula 768pi=pi*(3h/4)^2*h/3 768=9h^2/16*h/3 768=9h^3/16*3 768=9h^3/48 768*48=9h^3 36864=9h^3 4096=h^3 h=16 If you don’t understand something just let me know. Good luck!