Answer:
<h2>288 ft³</h2>
Step-by-step explanation:
The formula of a volume of a prism:

where
<em>B</em><em> - area of a base</em>
<em>H</em><em> - height of a prism</em>
<em />
In the base we have the right treiangle. The formula of an area of a right triangle is:

where
<em>a, b</em><em> - are legs</em>
We have

Substitute:

Calculate the volume.
Substitute


144 - 56 = 88
88/144 simplified to -----> 11/18
Answer:
(
g
−
f
)
(
3
)
=
23
Step-by-step explanation:
(g-f)(x)=g(x)-f(x)
=6x-(4-X(2))
=x(2)+6x-4
to evaluate (g-f) (#) substitute x=3 into (g-f)(x)
(g-f)=(9)+(6 x 3) -4=23
Answer:
Approximate radius of the given hemisphere is 3 in.
Step-by-step explanation:
Formula to calculate the volume of a hemisphere is given by,
V = 
Since, volume of the given hemisphere in the picture = 56.52 in²
By substituting the value of V in the formula,
56.52 = 
Now solve the expression for the value of 'r',
r³ = 
r³ = 26.99
r = ∛(26.99)
r = 3 in.
Therefore, approximate radius of the given hemisphere is 3 in.