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# Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume

- 4430 cm
^{3} - 8800 cm
^{3} - 8792 cm
^{3} - 6418 cm
^{3}

^{3}^{3}^{3}^{3}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 cm^{3}

### By applying Pythagoras theorem on the cone, we can find the relation between volume and slant height of the cone.

We know, h^{2} + r^{2} = L^{2}

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 cm^{3}

Therefore, the volume of given cone is 8792 cm^{3}

Therefore option c) 8792 cm^{3} is correct.

where,

^{3}

Therefore, the volume of given cone is 8792 cm

^{3}

Therefore option c) 8792 cm

^{3}is correct.

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