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Marina CMI [18]
3 years ago
6

Alex needs to buy compressed air to fill empty cylindrical tanks for his tire store. Each tank is 12 feet deep and has a radius

of 6 feet. What is the volume of compressed air needed to fill 5 tanks? (Use 3.14 for π.) (1 point)
Mathematics
1 answer:
agasfer [191]3 years ago
4 0
---------------------------------------
Formula
---------------------------------------
Volume = πr²h

---------------------------------------
Find Volume of one tank
---------------------------------------
Volume of 1 tank = πr²h
Volume of 1 tank = 3.14 x 6² x 12
Volume of 1 tank = 678.24 ft³

---------------------------------------
Find Volume of 5 tanks
---------------------------------------
Volume of 1 tank = 678.24
Volume of 5 tanks = 678.24 x 5 
Volume of 5 tanks = 3391.2 ft³

---------------------------------------
Answer: 3391.2 ft³
---------------------------------------

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7. Verify the following: i) (ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0 ii) (a + b + c) (a² + b² + c² –
blsea [12.9K]

<u>1</u><u>.</u><u> </u><u>(ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0</u>

We know that (a+b)(a-b) = a²-b²

(ab + bc)(ab -bc) can be written as a²b² - b²c²

(bc + ca)(bc -ca) can be written as b²c² - c²a²

(ca + ab)(ca - ab) can be written as c²a² - a²b²

→ a²b² - b²c² + b²c² - c²a² + c²a² - a²b²

→ a²b² - a²b² - b²c² + b²c² - c²a² + c²a²

→ 0

<u>2</u><u>.</u><u> </u><u>(a + b + c) (a² + b² + c² – ab – bc – ca) = a³ + b³+ c³ – 3abc</u>

→ a³ + ab² + ac² -a²b - abc -ca² + a²b + b³ + bc² - ab² - b²c - abc + a²c + b²c + c³ - abc - bc² - c²a

→ a³ + b³+ c³ + (- abc - abc - abc) + (ab² - ab² )+ (ac² - ca² ) -(a²b + a²b )+ (bc² - bc² )+ (a²c - c²a) + (b²c - b²c)

→ a³+b³+c³ - 3 abc .

<u>3</u><u>.</u><u> </u><u>(p – q) (p² + pq + q²) = p³ – q³. </u>

→ p³ + p²q + pq² - p²q - pq² - q³

→ p³ - q³ +(p²q - p²q) + (pq² - pq²)

→ p³ - q³

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Answer:

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Step-by-step explanation:

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Thus weekday hours utilized are 5 hours, and weekend are (26-5) 21 hours.

4 0
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