The height of water in both container is 7.2 cm
Option C
Solution:
The volume of water in the rectangular prism in the left is given by
[tex]2\times4\times10 = 80 cm^3[/tex]
The volume of water in the middle rectangular prism in given by
[tex]2\times4\times h = 80 h[/tex]
The volume of water in cylinder on the right is given by
[tex]\pi\times (1)2\timesh = \pi \times h , \pi = 3.14[/tex]
Since all water in the container on the left is poured in both containers on the right, then
[tex]80 cm^3 = 8 h + \pi\times h[/tex]
Solve to find h
[tex]h = \frac{80}{(8 + \pi)}[/tex]
[tex]\text{ value of }\pi =3.142[/tex]
On substituting the value we get,
[tex]h = \frac{80}{(8 + 3.142)}=\frac{80}{11.142}=7.18 cm[/tex]
h = 7.2 cm (rounded to the nearest tenth of a cm)
The height of water in both container is: 7.2 cm.
Volume is the amount of space taken up by an object, while capacity is the measure of an object's ability to hold a substance, like a solid, a liquid or a gas. Volume is measured in cubic units.
Volume of water in the rectangular prism, full of water =2*4*10
=80cm³
volume of water in the half filled rectangular prism,
=2*4*h
=8h
volume of water in half filled cylinder on the right is,
=πr²h
=3.14*1*1*h
= 3.14h
Since, height of water in both container are equal. Then,
80= 8h+3.14h
80/11.14=h
h=7.18 cm
Hence, the height of water in both container is 7.18 cm or 7.2 cm
Learn more about Volume here:
https://brainly.com/question/14402400
#SPJ5
