Answer:
a) 2,400 ft^3
b) 1,413 ft^3
c) 3,813 ft^3
Step-by-step explanation:
First, two general equations:
For a rectangular prism of length L, width W and height H, the volume is:
V = L*W*H
And for a cylinder of radius R and height H, the volume is:
V = pi*(R^2)*H
where pi = 3.14
a) First we want to find the area of the rectangular part.
We can see that the measures are:
H = 8ft
W = 12ft
L = 25ft
Then the volume of this part is:
V = (8ft)*(12ft)*(25ft) = 2,400 ft^3
b) For the half-cylinder, we can see that we have a diameter of 12ft (then has a radius of 12ft/2 = 6ft) and a height of 25ft
R = 6ft
H = 25ft
Then the volume of this part will be half of the volume of a cylinder with these dimensions, so here we have:
V' = (3.14*(6ft)^2*25ft)/2 = 1,413 ft^3
c) The total volume is just the sum of the two volumes we found above, this is:
Volume = V + V' = 2,400 ft^3 + 1,413 ft^3 = 3,813 ft^3
