The radius of the base of a solid cone is 21 cm and its height is 9 cm. What is the volume of the cone?

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  1. 1980 cm3
  2. 4158 cm3
  3. 1386 cm3
  4. 5940 cm3

Answer (Detailed Solution Below)

Option 2 : 4158 cm3
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Detailed Solution

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Given:

Radius of the base (r) = 21 cm

Height (h) = 9 cm

Formula used:

Volume of cone (V) = \(\dfrac{1}{3} \pi r^2 h\)

Calculation:

V = \(\dfrac{1}{3} \pi r^2 h\)

⇒ V = \(\dfrac{1}{3} \pi (21)^2 (9)\)

⇒ V = \(\dfrac{1}{3} \pi (441) (9)\)

⇒ V = \(\dfrac{1}{3} \pi (3969)\)

⇒ V = \(\pi \times 1323\)

⇒ V = 4158 cm3 (taking π = 22/7)

∴ The correct answer is option (2).

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