A cylindrical can, open at the top, is to hold 500 cm of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can.

A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.

In the following table, the radii and heights of cylinders are given. Determine the volumes of the cylinders. Round the answers to the nearest whole number. V=r2h where V=volume , =3.14 , r=radius , h=height 47.

Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.

Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a prism that is 13.82 centimeters high and has an equilateral triangle base that has 9.08 centimeter sides. Round the answer to the nearest cubic centimeter.

Richard has a fuel tank in the shape of a right circular cylinder. The tank has a height of 6 ft and a radius of length 1.5 ft for its circular base. If 1ft3 of volume contains 7.5 gal of gasoline, what is the approximate capacity of the fuel tank in gallons?

For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.