A right triangle ABC with sides 5cm, 12cm and 13cm is revolved about the side 12 cm. Find the volume of the solid so obtained.
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Answer:
volum of solid so obtained = 100 π cm³
Step-by-step explanation:
Solution :-
Let, ABC with right angle at B.
AC will be hypotenuse , AC = 13 cm
and, AB = 12 cm, BC = 5 cm
We revolve ∆ABC, about the side AB (= 12 cm)
we get a cone as shown in the figure.
Radius (r) = 5 cm
& height (h) =12 cm
Volume of solid so obtained ⇀
1
( ── × π × 5× 5× 12) cm³
3
➝ ( 1× π × 25 × 4) cm³
➝100 π cm ³
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