The radius and slant height of a cones are in ratio of 4:7.If it's CSA is 792cm2. Then find radius
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let the common multiple be x
therefore radius = 4x
and slant height = 7x
from formula
CSA of cone = π r l
thus, 792 = π × 4x × 7x
792 = π × 28x
792 = 22/7 × 28x
792/22 × 7 = 28x
252= 28x
x = 252/28
x = 9
radius = 4x = 4 × 9= 36
thus radius is of length 36 cm...
Hope this helps you...
therefore radius = 4x
and slant height = 7x
from formula
CSA of cone = π r l
thus, 792 = π × 4x × 7x
792 = π × 28x
792 = 22/7 × 28x
792/22 × 7 = 28x
252= 28x
x = 252/28
x = 9
radius = 4x = 4 × 9= 36
thus radius is of length 36 cm...
Hope this helps you...
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