Mathematics: Acontainer is shaped like a cylinder with half spheres on each end the cylinder has a length of 30 centimeters and a radius of 5 cm to the nearest cubic centimeter how many cubic centimeters can one container hold do not round calculations until the final answer

x²/144 + y²/95 = 1Step-by-step explanation:...

Acontainer is shaped like a cylinder with half spheres

croxy0514

14.03.2022

The volume of the container is:

2880 cm^3

Step-by-step explanation:

In order to find the volume of the container we need to find the volume of the cylinder and volume of two half spheres.

i.e.

Volume of container=Volume of cylinder+Volume of two half spheres.

We know that the volume of cylinder is given by:

$\text{Volume\ of\ cylinder}=\pi r^2h$

where h is the height of the cylinder and r denote the radius of the cylinder.

Also, volume of 1 half sphere is given by:

$\text{Volume\ of\ half\ sphere}=\dfrac{2}{3}\pi r^3$

where r is the radius of half sphere.

Hence, Volume of 2 half spheres is:

$\text{Volume\ of\ two\ half\ sphere}=\dfrac{4}{3}\pi r^3$

Hence,

$\text{Volume\ of\ container}=\pi r^2h+\dfrac{4}{3}\pi r^3$

From the given information in the question we have:

$r=5\ cm\\\\h=30\ cm\\\\We\ use\ \pi=3.14$

Hence, by putting these values in the expression (1) and solving we get:

$\text{Volume\ of\ container}=2879.7932\ cm^3$

which on rounding off gives:

2880 cm^3

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