A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of\(2 ft\)and a diameter of\(12 ft\). The tank will be made from metal (including its top and bottom). If the metal costs\(\$ 23\)for each square foot, how much will the metal cost in total? If necessary, refer to the list of geometry formulas.

For your calculations, do not round any intermediate steps, and use the\(\pi \)button on the ALEKS calculator. Round your answer to the nearest cent.

Find the volume of rotation for the region enclosed by the graphs of\( y = x ^ { 3 } + 2 , y = 4 - x ^ { 2 } \), and x=2 (see figure) rotated about the line y = -6.

(Use symbolic notation and fractions where needed.)

volume:

Figure is not drawn to scale.

What is the surface area of the prism?

\(\square m ^ { 2 } \)

Solve the triangle\( A B C \).

Find the unknown side\( b \), the side opposite angle\( B \).

\( b = \square \)(Round to the nearest tenth as needed.)

Solve the triangle.

\( a = 7 , b = 9 , c = 13 \)

A\( \approx \square ^ { \circ } \)

(Type your answer in degrees. Round to one decimal place as needed.)