Question

2. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. Find thevolume of the cone so formed.​

Answer 1

$\sf{\huge{\underline{\orange {Given :-}}}}$

• A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone.

$\sf{\huge{\underline{To\:Find :-}}}$

• The volume of the cone so formed.

$\sf{\huge{\underline{\green{Answer :-}}}}$

We are having,

• Side 1 = 3 cm

• Side 2 = 4 cm

• Side 3 = 5 cm

The height of cone = 3 cm

So, the radius becomes the side measuring 4 cm

➝ v = $\dfrac{\pi \: r {}^{2} \: h }{3}$

➝ v = $\dfrac{\pi \times 4 \times 4 \times 3 }{3}$

➝ v = $\dfrac{\pi \times 16 \times 3 }{3}$

➝ v = 16 π cm³

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