Question

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 the water contained in the cylinder? Use 3.14 for pi.

A) 7,235 cm 

B) 28,260 cm

C) 204,715 cm

D) 275,365 cm

Answer 1

Explanation:

First, let's calculate the volume of the glass sphere:

V_sphere = (4/3) * pi * r^3

V_sphere = (4/3) * 3.14 * 12^3

V_sphere ≈ 7238.23 cm^3

Next, let's find the volume of the cylinder:

V_cylinder = pi * r^2 * h

V_cylinder = 3.14 * 30^2 * 100

V_cylinder ≈ 282,600 cm^3

Since the glass sphere is completely submerged in water, the volume of the water in the cylinder will be the difference between the volume of the cylinder and the volume of the sphere:

V_water = V_cylinder - V_sphere

V_water ≈ 275,362.77 cm^3

Therefore, the approximate volume of the water contained in the cylinder is approximately 275,365 cm^3, which is closest to option D.

Answer 2

The answer is D. 275,365