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 ______ ft3.

The volume of Silo B is ________ ft3.

The volume of Silo A is __________ 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: 20,347.2 − 13,564.8 = 6,782.4 ft^3

Answers:
The volume of Silo A is 20,347.2 ft^3.
The volume of Silo B is 13,564.8 ft^3.
The volume of Silo A is 6,782.4 cubic feet larger than Silo B.