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The central angle of a sector is 288° If this sector is rolled up to make a cone, find the ratio between the radius and slant height of the cone. |
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Answer» 360 x \(\frac{4}{5}\) = 288 ∴ Radius of the cone 4 = \(\frac{4}{5}\) x radius of the big circle ∴ If r is the radius of the circle Radius of the Radius of the cone = \(\frac{4}{5}\) r But radius of the circle = slant height of cone i.e., 1 = r ∴ Ratio between the radius of the cone and slant height \(=\frac{4}{5}r:r=\frac{4}{5}:1=4:5\) |
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