An Open Cylindrical Trash Can Is to Hold 11 Cubic $\pi$

question 410

Essay

An open cylindrical trash can is to hold 11 cubic feet of material. What should be its dimensions if the cost of material used is to be a minimum? [Surface Area, S = $\pi$ r² + 2 $\pi$ rh where r = radius and h = height.]

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Definitions:

Spermatogenesis

The process by which spermatozoa are produced from spermatogonial stem cells through mitosis and meiosis.

Epididymis

A long, coiled tube located adjacent to the testicles where sperm mature and are stored.

Tubal Ligation

A surgical procedure for sterilization in which a woman's fallopian tubes are clamped and blocked or severed and sealed to prevent eggs from reaching the uterus for fertilization.

Injectable Contraceptives

Birth control methods that involve the injection of a hormone, usually progestin, to prevent ovulation and thereby pregnancy.