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?

. 0

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

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

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

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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

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

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

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

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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