Question

PLEASE HELP!!!!! A cylinder shaped container has a radius of 30 cm and a height of 100 cm. A glass sphere with a radius of 12 cm is placed inside the cylinder shaped container and then the container is completely filled with water. What is the approximate volume of water contained in the cylinder? Use 3.14 as an approximation for pi.

Answer 1

Answer: The answer is 275,365 cm³  I just took the test so I know this is correct

Step-by-step explanation:

Answer 2

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,

$V=\pir^2h$

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,

$V_1=\pi(30)^2(100)=3.14\times 900\times 100=282600$ cm³

Now, since, the volume of the sphere is,

$V =\frac{4}{3}\pir^3$

Where r is the radius of the sphere,

Here, r = 12 cm,

Thus, the volume of the sphere is,

$V_2=\frac{4}{3}\pi(12)^3=\frac{4}{3}\times 3.14\times 1728=\frac{21703.68}{3}=7234.56$ 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