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
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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