Sachin cuts a wooden board bounded by the curve y = x³ and the line y = 8, along with the y-axis, to make an E-learning Hub sign. What is the area of the board?
Sachin cuts a wooden board bounded by the curve y = x³ and the line y = 8, along with the y-axis, to make an E-learning Hub sign. What is the area of the board?
- A. 12
- B. 16
- C. 8
- D. 4
Answer: A) 12
Explanation: Integrating with respect to y: Area = ∫(0 to 8) x dy = ∫(0 to 8) y^(1/3) dy = [3/4 y^(4/3)] from 0 to 8 = 3/4 × 16 = 12 sq units.
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