Maths-
General
Easy
Question
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)πr2h
= (1/3)(22/7)(4 x 4)(3)
= 22/7 x 16
= 352 / 7
= 50.28 cm3
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)πr2h
Therefore, the correct option is c) 5 cm
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