Question : The volume of a cone is 27720 cm3. If the height of the cone is 20 cm, then what will be the area of the base?
Option 1: 4158 cm2
Option 2: 4272 cm2
Option 3: 4626 cm2
Option 4: 4836 cm2
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Correct Answer: 4158 cm 2
Solution : Given, The volume of a cone is 27720 cm 3 The height of the cone is 20 cm We know, Volume of a cone = $\frac{1}{3}$ × area of base × height ⇒ 27720 = $\frac{1}{3}$ × area of base × 20 ⇒ area of base = $\frac{27720 × 3}{20}$ ⇒ area of base = 4158 cm 2 Hence, the correct answer is 4158 cm 2 .
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