**Answer: C.**

**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**

8)

around the tank = 12 * circumference

circumference = d

c = 30

c = 94.2477796

area around tank = 12 * 94.2477796 = 1130.973355

now top of tank

area of a circle =

* = 706.858347

add the two surface areas together for the total

706.858347 + 1130.973355 = 1837.832

**total surface area = 1837.8 **

10) all I see in the picture is a cylinder, but it's saying "composite" shape so I know there is probably more, but the cylinder is

** 10 = 282.7

Attached a solution and showed work.

Answer:

• V = x(11 -2x)(16 -2x)

• x ≈ 2.1 in

Step-by-step explanation:

a) The volume of the box is the product of its depth (x), width (11 -2x) and length (16 -2x). The equation can be simply ...

v(x) = x(11 -2x)(16 -2x)

__

b) A graphing calculator can plot this equation directly. All that is needed is to enter it into the appropriate space provided by the calculator. The value of x that gives the greatest volume is the value that makes the function have a local maximum between x=0 and x=5.5 (where the volume is again zero).

That value of x is about 2.1 inches.