Q1 of 48 Page 264

The curved surface area of a cone is 550 cm2. If its diameter is 14 cm, find its volume.

Given.


CSA of cone = 550 cm2


Diameter is 14 cm


Formula used/Theory.


CSA of cone = πr]


Volume of cone = πr2h


If diameter is 14 cm


Then radius is half of diameter


Radius = = 7 cm


CSA of cone = πr[]


= × 7 × []


= 22 ×


=


Squaring both sides


h2 + 49 = 252


h2 = 625 – 49


h2 = 576


h = √576 = 24 cm


Volume of cone = πr2h


= × 7 × 7 × 24


= 8 × 7 × 22


= 1232 cm2


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