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

(a) 12π cm³

(b) 15π cm³

(c) 16π cm³

(d) 20π cm³

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Solution

Radius of cone VAOB
r = 4 cm
Height of cone VAOB
h = 3 cm
The volume of cone VAOB
$= \frac{1}{3} π r^{2} h$
$= \frac{1}{3} π \times 4^{2} \times 3$
$= 16 π c m^{3}$
Hence, the correct answer is choice (c).

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A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is (a) 12π cm3 (b) 15π cm3 (c) 16π cm3 (d) 20π cm3

Radius of cone VAOBr = 4 cmHeight of cone VAOBh = 3 cmThe volume of cone VAOB=13πr2h=13π×42×3=16π cm3Hence, the correct answer is choice (c).

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

(a) 12π cm³

(b) 15π cm³

(c) 16π cm³

(d) 20π cm³

Radius of cone VAOB
r = 4 cm
Height of cone VAOB
h = 3 cm
The volume of cone VAOB
$= \frac{1}{3} π r^{2} h$
$= \frac{1}{3} π \times 4^{2} \times 3$
$= 16 π c m^{3}$
Hence, the correct answer is choice (c).