3. Find the volume of the largest right-circular cylinder that can be inscribed in a right-circular cone having a radius of 4 cm and a height of 8 cm.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Uhmm Hi! You can count this as 4 to my questions. Thank you! 

3. Find the volume of the largest right-circular cylinder that can be inscribed
in a right-circular cone having a radius of 4 cm and a height of 8 cm.
4. A piece of wire 10 ft long is cut into two piece. One piece is bent into the
shape of a circle and the other into a shape of a square. How should a wire
be cut so that (a) the combined area of the two figures is as small as
possible; (b) the combined area of the two figures is as large as possible?
5. A piece of wire 20 cm long is cut into two pieces, and each piece is bent
into a shape of a square. How should a wire be cut so that the total area of
the two squares is as small as possible?
6. If R meters is the range of a projectile, then R
sin2º , o < e<, where
g
v, ft/s is the initial velocity, g m/s² is the acceleration due to gravity, and 0
is the radian measure of the angle that the launcher makes with the
horizontal. Find the value of 0 that makes the range maximum.
Transcribed Image Text:3. Find the volume of the largest right-circular cylinder that can be inscribed in a right-circular cone having a radius of 4 cm and a height of 8 cm. 4. A piece of wire 10 ft long is cut into two piece. One piece is bent into the shape of a circle and the other into a shape of a square. How should a wire be cut so that (a) the combined area of the two figures is as small as possible; (b) the combined area of the two figures is as large as possible? 5. A piece of wire 20 cm long is cut into two pieces, and each piece is bent into a shape of a square. How should a wire be cut so that the total area of the two squares is as small as possible? 6. If R meters is the range of a projectile, then R sin2º , o < e<, where g v, ft/s is the initial velocity, g m/s² is the acceleration due to gravity, and 0 is the radian measure of the angle that the launcher makes with the horizontal. Find the value of 0 that makes the range maximum.
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