Question

2. A manufacturing company uses cylindrical storage

Answer 1

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