Question

Theo containers designed to hold water are side by side, both in the shape of a

Answer 1

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:

brainly.com/question/9554871

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