Post-UTME Mathematics 2015 Objective — Question 16
Question 16 of 40 from the Post-UTME Screening (Post-UTME) Mathematics 2015 Objective paper, with the correct answer and a full explanation.
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The volume of a balloon which is being blown increases at the rate of (60-3t²) cm³/s, where t is the time in seconds. If the initial volume of the balloon is zero, its volume after 3 seconds is
- A. 33cm³
- B. 153cm³Correct
- C. 180cm³
- D. 207cm³
Explanation
Integrating (60-3t²) from 0 to 3 gives [60t-t³] = 180-27 = 153cm³.
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