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The lateral area of a cone is 480 pi cm2. The radius is 40 cm. Find the slant height.
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The formula for the lateral area of a cone is \[lateral\ area=\pi \times r \times l\] where l = slant height The formula can be rearranged to find the slant height in terms of the lateral area and the radius as follows: \[l=\frac{lateral\ area}{\pi \times r}\] Now you just need to plug the given values of lateral area and radius into the latter equation to find the slant height.
\[l=\frac{480\times \pi}{\pi \times 40}cm=you\ can\ calculate\]
Um... I got 19, 200
\[l=\frac{480\times \pi}{\pi \times 40}=\frac{480}{40}cm\] What do you get when 480 is divided by 40?
12
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@kropot72
is that it or is there something next???
The slant height is 12 cm.
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