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# Cones

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A 288 degree circular sector with radius 18 is rolled to form a cone. Find the height of the cone.

Apr 27, 2022

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A 288 degree circular sector with radius 18 is rolled to form a cone. Find the height of the cone.

the slant height will be 18

The circumference at the base will be     $$\frac{288}{360}*2\pi*18$$

$$C=2\pi r\\ \frac{288}{360}*2\pi*18=2\pi r\\ \frac{288}{360}*18= r\\ r=14.4\;units\\~\\$$

Check my working then use pythagoras's Theorem to find the height

Apr 27, 2022