The volume of a cylinder varies directly as the height and the square of the radius. A cylinder with radius 5 cm and height 10 cm has volume 785 ??3. Find the volume of a cylinder with radius 10 cm and height 15cm.

High definition television (HDTV) gives consumers a wider viewing area, more like a film screen in a theater. A regular television with a 54-inch diagonal measurement has a screen 32.4 in. tall. An HDTV screen with the same 32.4-inch height would have a diagonal measuring 66 in. How many inches wider is the HDTV screen? Round to the nearest hundredth.

The volume of an enclosed gas is based on the volume of its container. Increased pressure can force gas into a smaller enclosure. An oxygen tank shaped like a cylinder holds 4.9 cubic feet of gas and is 35.0 inches tall. Its contents are released into a second cylindrical tank that is 50.0 inches tall with a 5.25-inch radius. Note: 1 ft3 = 1,728 in³. 1. What is the radius of the first tank in inches? 2. What is the volume of the second tank, in cubic inches? 3. By how much will the gas expand or contract to fill the second tank? 4. Is the pressure in the second tank greater or less than the pressure in the first tank? Use 3.14 to approximate pi and round your answers to the nearest tenth of a unit, when appropriate.

Bernice rectangle workbook is 2/3 foot width and 5/6 footlong what is the area if the page in her workbook.