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CBSE Class 10 Answered

A sector of circle of radius 25 cm has angle 115.2 . It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the solid generated.
Asked by Kumarashish6345 | 29 Dec, 2018, 12:38: PM
answered-by-expert Expert Answer
If the sector of circle is rolled and cone is made, then slant height of cone = 25 cm.
 
Also base circumference of cone = (115.2/360)×2π×25 = 50.265 cm
 
Hence radius of base circle = 50.265/(2π) = 8 cm
 
height of the cone = begin mathsize 12px style square root of 25 squared minus 8 squared space end root equals space 23.7 space c m space end style
Volume of cone = (1/3)×π×8×8×23.7 = 1588 cm3
Answered by Thiyagarajan K | 29 Dec, 2018, 01:59: PM

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