11) A company sells peanut butter in cylinder jars. Marketingresearch suggests t

Question

11) A company sells peanut butter in cylinder jars. Marketingresearch suggests that using wider jars will increase sales. If thediameter of the jars is increased by 25% without altering thevolume, by what percent must the height be decreased? a. 10 b. 25 c. 36 d. 50 e. 60 11) A company sells peanut butter in cylinder jars. Marketingresearch suggests that using wider jars will increase sales. If thediameter of the jars is increased by 25% without altering thevolume, by what percent must the height be decreased? a. 10 b. 25 c. 36 d. 50 e. 60

Explanation / Answer

1. A = bottom area, h = height. 2. V = Ah = (d/2)2 * h.     V' = A'h' = ((1+0.25)d/2)2 * h' 3. V = V' => (d/2)2 * h = ((1+0.25)d/2)2 *h' h' = (d2/4 * h) / (1.252d2 /4) = 1/ 1.252 = 0.64 h h - h' = h - 0.64h = 0.36h 4. The height must be decreased by 36%. Answer: c. 36

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.