Consider a right circular cone with given height h. The volume of the cone as a function of its radius r is given by Vr) = rh- 2h. Consider a right circular cone with fixed height h = 6 in. a. Write the diameter d of the cone as a function of the radius r. b. Write the radius r as a function of the diameter d. c. Find (V • r)(d) and interpret its meaning. Assume that h = 6 in.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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Consider a right circular cone with given height h. The volume of the cone as a function of its radius r is given by
Vr) = rh-
2h. Consider a right circular cone with fixed height h = 6 in.
a. Write the diameter d of the cone as a function of the radius r.
b. Write the radius r as a function of the diameter d.
c. Find (V • r)(d) and interpret its meaning. Assume that h = 6 in.
Transcribed Image Text:Consider a right circular cone with given height h. The volume of the cone as a function of its radius r is given by Vr) = rh- 2h. Consider a right circular cone with fixed height h = 6 in. a. Write the diameter d of the cone as a function of the radius r. b. Write the radius r as a function of the diameter d. c. Find (V • r)(d) and interpret its meaning. Assume that h = 6 in.
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