The typical soft drink can in the U.S. has a volume of 355 cm³. The two circular ends cost $0.0004 per cm² each (because they are thicker), and the cost of the aluminum for the side of the can is $0.00024 per cm². What dimensions will minimize the cost of a can? (Round your answers to two decimal places.)

Radius? cm

Height? cm

What is the minimum cost per can? (Round your answers to four decimal places.)

$

A piece of wire 20 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a circle. Where should the wire be cut so that the combined area of the two figures is a maximum? (Round your answers to two decimal places.) length of wire used for the square ft length of wire used for the circle ft Where should the wire be cut so that the combined area of the two figures is a minimum? (Round your answers to two decimal places.) length of wire used for the square ft length of wire used for the circle ft

Traci is in the ocean in her kayak 5 km from the nearest point A on a straight beach

She is really hungry and wants to get to the restaurant that is 8 km down the beach from point A as quickly as possible. If she can paddle at the rate of 4 km per hour and jog at the rate of 6 km per hour, how many kilometers to the east of point A should she land in order to get from her current location to the restaurant in the least possible time? (Round your answer to two decimal places.) km

Find the dimensions of the rectangle with the largest area; it has two vertices on the x-axis and two vertices above the x-axis on the graph of

y = 16 x².

length of horizontal side

length of vertical side