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butalik [34]
3 years ago
14

Find the missing measure for a right circular cone given the following information. Find V if r = 2 and L.A. = 12pie

Mathematics
1 answer:
adell [148]3 years ago
4 0
The lateral area is pi*r*s where s is the slant height of the cone. So in this case pi*r*s=12pi so the slant height s = 12pi / 2pi = 6. The height of the cone will be h = sqrt(6^2 - 2^2) by Pythagoras or h=sqrt(32) = 4*sqrt(2). Now for the volume: for a cone V = (1/3)*pi*r^2*h so here V = (1/3)*pi*2^2*4*sqrt(2) which gives us V = (16/3)*pi*sqrt(2) or answer A.<span>
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