For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:

Where:
: It is the area of the base
h: It's the height
Substituting:
The volume of the pyramid is given by:

Where:
It is the area of the base
h: It's the height
Substituting:

We add and we have:

ANswer:
Option D



She will take
hours or 13 minutes and 38 secs.
The present age of father is 86 years old and present age of son is 48 years old
<em><u>Solution:</u></em>
Given that, a father is now 38 years older than his son
Ten years ago he was twice as old as his son
Let "x" be the age of son now
Therefore, from given,
Father age now = 38 + age of son now
Father age now = 38 + x
<em><u>Ten years ago he was twice as old as his son</u></em>
Age of son ten years ago = age of son now - 10
Age of son ten years ago = x - 10
Age of father ten years ago = 38 + x - 10
Then we get,
Age of father ten years ago = twice the age of son ten years ago
38 + x - 10 = 2(x - 10)
28 + x = 2x - 20
2x - x = 28 + 20
x = 48
Thus son age now is 48 years old
Father age now = x + 38 = 48 + 38 = 86
Thus present age of father is 86 years old and present age of son is 48 years old
Since the equation says "cos(x-2)", we know that the horizontal displacement is 2 units.