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Chapter 2: Q60. (page 96)

Mr. Morrison is draining his cylindrical pool. The pool has a radius of 10feetand a standard height of 4.5feet.If the pool water is pumped out at a constant rate of 5gallons per minutes, about how long will it take to drain the pool? 1ft3=7.5gallons

F)鈥夆赌夆赌�37.8minG)鈥夆赌夆赌�7hH)鈥夆赌夆赌�25.4hJ)鈥夆赌�35.3h

Short Answer

Expert verified

The correct option is J)鈥�35.3鈥塰.

Step by step solution

01

Step 1. Volume of a cylinder.

The basic formula to calculate the volume of cylinder with radius 鈥�r鈥� and height 鈥�h鈥� is: 蟺r2h.

02

Step 2. Volume of the pool.

Height of the pool is 4.5feet

Radius of the pool is10feet

V=3.1410feet2(4.5feet)V=1413feet3V=1413(7.5)V=10597.5gallons

03

Step 3. Time taken to drain the pool.

Rate of draining is 5gallons per minute.

Time taken to drain the pool is:

10597.55=2119.5minutes=35hours19.5minutes.

Hence, the time taken to drain the pool is35.3hours.

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Most popular questions from this chapter

Write an equation and solve each problem. Find three consecutive integers with a sum of -36.

Translate the following sentence into an equation:

鈥淔our times the sum of 14 and c is a squared鈥�.

Translate the following sentence into a formula:

鈥淭he density of an object is the quotient of its mass and its volume鈥�.

Translate each sentence into an equation.

The quotient of 25 and t plus 6 is the same as twice t plus 1.

Solve each equation. Check your solution.

c+1鈭�3=鈭�21
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