31.03.2022

Theo containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 30 feet and a height of 18 feet. Container B
has a diameter of 26 feet and a height of 19 feet. Container A is full of water and the
water is pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of the empty space inside
Container A to the nearest tenth of a cubic foot?

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Step-by-step answer

09.07.2023, solved by verified expert
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The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

We have given that the shape of a

cylinder Container A has a diameter of 30 feet and a height of 18 feet.

diameter =30 feet and height =18 feet

Therefore

Theo containers designed to hold water are side, №18009999, 31.03.2022 15:32

What is the formula for volume of cylinder ?

Theo containers designed to hold water are side, №18009999, 31.03.2022 15:32

For cylinder A,

Theo containers designed to hold water are side, №18009999, 31.03.2022 15:32

Theo containers designed to hold water are side, №18009999, 31.03.2022 15:32

Similarly for cylinder B,

h=19

radius

Theo containers designed to hold water are side, №18009999, 31.03.2022 15:32

volume of cylinder B

Theo containers designed to hold water are side, №18009999, 31.03.2022 15:32

After pumping all of Cylinder  A into Cylinder B there will remain empty space in B

Theo containers designed to hold water are side, №18009999, 31.03.2022 15:32

The percentage this empty space is,

of the entire volume is

Theo containers designed to hold water are side, №18009999, 31.03.2022 15:32

which is 26.12 %  when rounded to the nearest tenth.  

Therefore,

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

To learn more about the volume of cylinder visit:

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Mathematics
Step-by-step answer
P Answered by Specialist

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

We have given that the shape of a

cylinder Container A has a diameter of 30 feet and a height of 18 feet.

diameter =30 feet and height =18 feet

Therefore

radius=\frac{d}{2} \\\\radius=\frac{30}{2} \ \\\\radius=15

What is the formula for volume of cylinder ?

volume =\pi r^2h

For cylinder A,

volume =\pi r^2h

volume =\pi (15)^218\\ \\V=12723.45 ft^{3}

Similarly for cylinder B,

h=19

radius

\frac{26}{2} =13feet

volume of cylinder B

volume =\pi r^2h\\\\volume =\pi (13)^2(19)\\\\volume =10087.65 feet^3

After pumping all of Cylinder  A into Cylinder B there will remain empty space in B

12723.45-10087.65=2635.8 feet^3

The percentage this empty space is,

of the entire volume is

\frac{2635.8}{10087.65} =0.261289

which is 26.12 %  when rounded to the nearest tenth.  

Therefore,

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

To learn more about the volume of cylinder visit:

.

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Mathematics
Step-by-step answer
P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

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