Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius r.

Suppose prism B has bases which are regular hexagons of side 2 meters, a height of 3 meters, and a slant height of 3.4 meters. What are the surface area and the volume?

A right triangle whose hypotenuse is v15 m long is revolved about one of its legs to generate a right circular cone. Find the radius, height, and volume of the cone of greatest volume that can be made this way.

A tunnel connecting two portions of a space station has a circular cross-section of radius 34 feet. Two walkway decks are constructed in the tunnel. Deck A is along a horizontal diameter and another parallel Deck B is 2 feet below Deck A. Because the space station is in a weightless environment, you can walk vertically upright along Deck A, or vertically upside down along Deck B. You have been assigned to paint "safety stripes" on each deck level, so that a 6 foot person can safely walk upright along either deck. Determine the width of the "safe walk zone" on each deck. Deck A --> x-axis Deck B (a) Cross-section of tunnel. Deck A Deck B- = Safe walk zone (b) Walk zones. Deck A has a "safe walk zone" of feet. Deck B has a "safe walk zone" of feet Question Help: D Post to forum 1O Chp esc @ 2$ % & 3