Answer:
Part c) 
Part d)
or 
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to

where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>


substitute


Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to

we have

substitute

-----> exact value
<em>Find the approximate value</em>
assume


let's put value of t in equation.
x = 2√t
x = 2√y
x/2 = √y
(x/2)^2 = y
y = x^2 /4
now let's differentiate it with respect to x.
dy/dx = 2x/4 = x/2
differentiating again wrt to x
d^2y/dx^2 = 1/2
X+52=149 x=97 hope this helped!
The answer:

Explanation to your question:
Since the sin of theta is 0.3, we can reasonably deduct that the opposite side to theta has a ration of 3 to 10 to that of the hypotenuse. Thus, the adjacent side to theta, using the pythagorean theorem, will be root91. Therefore, since the cosine of theta is the adjacent/hypotenuse, we get root 91/10