Question

A container 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

Answer 1

The container is aproximatly 1064.16 cm^2

Volume of a cylinder (area of the base* height) + area of the sphere (4 *pi * r^2)
(25*30) + (4* pi * 25) = 750 + 314.15926535898 = 1064.15926535898

Answer 2

The volume of the container is:

2880 cm^3

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}=(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}=(4)/(3)\pi r^3`

Hence,

`\text{Volume\ of\ container}=\pi r^2h+(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