Math mini-contest problem for Day 5 on D.Buzz for April 2021 😎

in D.Buzz β€’ 2 months ago

Math mini-contest problem for Day 5 on D.Buzz for April 2021 😎

Turner is designing a spearhead which is a right circular cone. The distance of the spearhead's point to the base is 1 foot and the apex angle is 15Β°. What is the volume of the spearhead?

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The answer is 0.018 cubic feet.

h = 1 foot
c = h / cos(7.5 degrees) = 1.00863 (radius is half of 15 degrees)
r = sqrt(c^2-h^2) = 0.13165

Volume = β…“ Ο€ (r^2) (h) = 0.018 cubic feet.

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With my Scholl remembers about 0.074 ft^3 ? πŸ€”

I believe @jfang003 got it correctly - I won't try this time :)

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