Question

Aright triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm.
Find the volume of the solid so obtained.​

Answer 1

Hey MATE!!

Since we are rotating a right angeled triangle therefore, the figure thus formed would be a cone of height 12cm, radius 5cm and slant length 13cm.

The furthure solution is in the image above.

Please refer to it.

Hope it helps

HAKUNA MATATA :))

Answer 2

Answer: 314 cm. [ approx. ]

Step by step explanation:

Let Angle B be 90°.

Hence,

Hypotenuse, AC = 13 cm. AB = 12 cm, BC = 5 cm.

Given that,

∆ABC is revolved about the side with 12 cm that is, AB.

Thus, Cone is formed, as a result.

Let radius = r = 5 cm and height= h = 12 cm.

Volume of solid formed = Volume of cone

= 1/3 πr²h

= 1/3 × π × 5 ×5 × 12

= 100π

[We know that, π = 3.14]

= 100 × 3.14

= 314 cm. [ Approx. ]

Hence, The volume of the solid so obtained is 100π cm or 314 cm.