Q. 15.0( 2 Votes )
The curved surface area of a cone is 550 cm2. If its diameter is 14 cm, find its volume.
Answer :
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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