Answer: The answer is 275,365 cm³ I just took the test so I know this is correct
Step-by-step explanation:
Answer: The approximate volume of water contained in the cylinder is 275365.44 cm³
Step-by-step explanation:
Since, the volume of a cylinder is,
[tex]V=\pir^2h[/tex]
Where r is the radius and h is the height of the cylinder,
Here, r = 30 cm, h = 100 cm,
Hence, the volume of the given cylinder is,
[tex]V_1=\pi(30)^2(100)=3.14\times 900\times 100=282600[/tex] cm³
Now, since, the volume of the sphere is,
[tex]V =\frac{4}{3}\pir^3[/tex]
Where r is the radius of the sphere,
Here, r = 12 cm,
Thus, the volume of the sphere is,
[tex]V_2=\frac{4}{3}\pi(12)^3=\frac{4}{3}\times 3.14\times 1728=\frac{21703.68}{3}=7234.56[/tex] cm³
Since, The sphere is inside the cylinder,
Volume of the water contained in the cylinder = Volume of cylinder - Volume of sphere,
= 282600 - 7234.56 = 275365.44 cm³
Hence, the approximate volume of water contained in the cylinder is 275365.44 cm³
