Answer:
a_ 100,531 ft3
b_ 160 ft
c_The cylindrical storage will provide the most volume
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
A) Volume of a cylinder (V) : π x radius ² x height
Since
Diameter = 2r
Replacing with the value given:
40/2 =r
20ft=r
Back with the volume formula, replacing with the values given and solving for v (Volume)
V = π x 20 ² x 80
V = 100,531 ft3
b) we have to apply the next formula and solve for r:
Vx16 = π x r ² x 80
100,531 x16 = π x r ² x 80
1608495 / π 80 = r^2
6400 = r^2
√6400 =r
80 = r
Since:
Diameter = 2r
D = 2 (80)
D = 160 ft
c) We have to apply the next formula:
Volume of a rectangular prism: base x width x height
V = 30x40x80
V = 96,000ft3
Comparing it with the original tank's volume:
V = 100,531 ft3 >96,000ft3
The cylindrical storage will provide the most volume
Feel free to ask for more if needed or if you did not understand something
