find the height of a cone of diameter 10cm and slant height 13cm?
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We can use the Pythagorean theorem, a^2 + b^2 = c^2, to calculate the slant height. For both cones and pyramids, a will be the length of the altitude and c will be the slant height. For a cone, b is the radius of the circle that forms the base.
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d = 10cm
r = d/2 = 10/2 = 5cm
l = 13cm
Therefore
l^2 = r^2 + h^2
= 12 cm
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