question archive 1) A container of industrial laundry soap comes in two containers

1) A container of industrial laundry soap comes in two containers

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1) A container of industrial laundry soap comes in two containers. 

One container is rectangular and is 2 feet by 3 feet and 32 inches tall. 

The second container is cylindrical and has a radius of 0.3 meters and is 2 meters tall.

Determine the volume of the rectangular container in cubic feet. : Round your answer to the nearest tenth.

 

2) A container of industrial laundry soap comes in two containers. 

One container is rectangular and is 3 feet by 5 and 28 inches tall. 

The second container is cylindrical and has a radius of 0.8 meters and is 1.5 meters tall.

Determine the volume of the cylindrical container in cubic feet. Use 3.14 for pi. Round your answer to the nearest tenth.

 

3) A container of industrial laundry soap comes in two containers. One container is rectangular and is 3 feet by 5 feet and 37 inches tall. The second container is cylindrical and has a radius of 1.1 meters and is 1.2 meters tall.

Determine the volume of the rectangular container in cubic feet. 

Determine the volume of the cylindrical container in cubic feet. Use 3.14 for pi.

Which container is bigger? 

Type 1 for the rectangular container.

Type -1 for the cylindrical container.

 

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Answer:

1) Vrectangle = l x w x h

Vrectangle = 2 ft x 3 ft x 32 in (1 ft/12 in)

Vrectangle = 16 ft3

Vcylinder = πr2h

Vcylinder = 3.14 x (0.3 m)2 x (2 m) = 0.5652 m3 x (1 ft/0.3048 m)3 = 19.96 ft3

Total volume = 36.0 ft3

 

2) Vrectangle = l x w x h

Vrectangle = 3 ft x 5 ft x 28 in (1 ft/12 in)

Vrectangle = 35 ft3

Vcylinder = πr2h

Vcylinder = 3.14 x (0.8 m)2 x (1.5 m) = 3.0144 m3 x (1 ft/0.3048 m)3 = 106.45 ft3

Total volume = 141.5 ft3

 

3)Vrectangle = l x w x h

Vrectangle = 3 ft x 5 ft x 37 in (1 ft/12 in)

Vrectangle = 46.25 ft3

Vcylinder = πr2h

Vcylinder = 3.14 x (1.1 m)2 x (1.2 m) = 4.55928 m3 x (1 ft/0.3048 m)3 = 161 ft3

Total volume = 207.3

Cylinder container is bigger than the rectangle container. (-1)