Question

A farm has two cylindrical silos for storing grain as shown.

silo A 18 ft by 20 ft
silo b 12 ft by 30 ft

How much greater is the volume, in cubic feet, of the larger silo than the smaller silo?

Use 3.14 for pi. Show your work.

(3 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The volume of Silo A is Press enter key to drop response here.Response input area ft3.

The volume of Silo B is Press enter key to drop response here.Response input area ft3.

The volume of Silo A is Press enter key to drop response here.Response input area cubic feet larger than the volume of the Silo B.

33,912.0 27,129.6 20,347.2 6,782.4 13,564.8

Answer 1

Use V = πr^2h with π = 3.14.

Silo A: r = 18 ft, h = 20 ft
V_A = 3.14 × 18^2 × 20 = 3.14 × 324 × 20 = 3.14 × 6480 = 20,347.2 ft^3

Silo B: r = 12 ft, h = 30 ft
V_B = 3.14 × 12^2 × 30 = 3.14 × 144 × 30 = 3.14 × 4320 = 13,564.8 ft^3

Difference (A − B) = 20,347.2 − 13,564.8 = 6,782.4 cubic feet

Answer: V_A = 20,347.2 ft^3; V_B = 13,564.8 ft^3; larger by 6,782.4 ft^3.