Geometry

Solids

Medium

A right angle triangle is rotated along the base. If the perpendicular, hypotenuse and base of the triangle are 8 cm, 10 cm and 6 cm respectively. Find the volume of the cone formed through rotation. ( $\pi = 3.14$ )

$101.44 \text{ cm}^3$

$301.44 \text{ cm}^3$

$401.44 \text{ cm}^3$

$501.44 \text{ cm}^3$

✅ Correct Option: 3

When rotated along the base (6 cm as axis), the perpendicular (8 cm) becomes radius and base (6 cm) becomes height. Volume $= \frac{1}{3}\pi r^2 h = \frac{1}{3} \times 3.14 \times 8^2 \times 6 = \frac{1}{3} \times 3.14 \times 64 \times 6 \approx 401.92$ cm $^3$ , closest to 401.44.

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(A) Slant height = 35 cm

(B) Slant height = 33 cm

(D) Curved Surface Area = 2310 cm²

Choose the correct answer from the options given below:

A right angle triangle is rotated along the base. If the perpendicular, hypotenuse and base of the triangle are 8 cm, 10 cm and 6 cm respectively. Find the volume of the cone formed through rotation. (π=3.14\pi = 3.14π=3.14)

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CUET General Test Past Year Questions (Topic-Wise)

A right angle triangle is rotated along the base. If the perpendicular, hypotenuse and base of the triangle are 8 cm, 10 cm and 6 cm respectively. Find the volume of the cone formed through rotation. ( $\pi = 3.14$ )