Maths-
General
Easy
Question
Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume
- 4430 cm3
- 8800 cm3
- 8792 cm3
- 6418 cm3
Hint:
Volume of a cone = (1/3)πr2h
The volume of the cone in terms of slant height can be given as
The correct answer is: 8792 cm3
By applying Pythagoras theorem on the cone, we can find the relation between volume and slant height of the cone.
We know, h2 + r2 = L2
where,
- h is the height of the cone,
- r is the radius of the base, and,
- L is the slant height of the cone. We have given that
Radius, r = 20 cm
Slant height , L = 29 cm
Therefore, volume of cone = 
= (1/3)(3.14)(20 x 20) 
= (1/3)(3.14)(400) √(841 - 400)
= (1/3)(1256) √(441)
= (1/3)(1256)(21)
= 1256 x 7
= 8792 cm3
Therefore, the volume of given cone is 8792 cm3
Therefore option c) 8792 cm3 is correct.
where,
Therefore, the volume of given cone is 8792 cm3
Therefore option c) 8792 cm3 is correct.
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