Question 1201741: The lateral area of a cone is 32pi and the slant height is 8. Find the radius, height, total area, and volume.
Answer by mananth(16946)   (Show Source):
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The lateral area of a cone is 32pi and the slant height is 8. Find the radius, height, total area, and volume.
lateral area = 32 pi
32 pi = pi r^2
r =sqrt(32) = 4 sqrt(2) ( radius)
Total surface area = pi *r^2 + pi*r*l l=mslant height)
TSA = pi*32*+pi*16sqrt(2)*8
TSA = 32pi(1+4sqrt(2))
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