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# Two adjacent sides of the right-angle pf a right-angled triangle are 3 cm and 4 cm. This triangle is revolved around the side of length 3 cm. Find the volume of the cone thus formed. Find also the slant height of the cone (π =3.14).

- 15
- 3
- 5
- 8

Hint:

### Volume of a cone = (1/3)πr2h

## The correct answer is: 5

### We have given the dimensions of triangle having sides adjacent to the right angles equal to 3 cm, 4cm

Therefore by pythagorous theorem third side (slant height) will be

It is revolved about 3 cm side

Therefore, the cone formed will have dimensions as

Height, h = 3 cm

Radius, r = 4 cm

So, the volume of cone = (1/3)πr^{2}h

= (1/3)(22/7)(4 x 4)(3)

= 22/7 x 16

= 352 / 7

= 50.28 cm^{3}

Therefore, the correct option is c) 5 cm

It is revolved about 3 cm side

Therefore, the cone formed will have dimensions as

So, the volume of cone = (1/3)πr

^{2}h

^{3}

Therefore, the correct option is c) 5 cm

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