Mathematics, 28.01.2020 22:08, carcon2019

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

Answers: 3

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Answers

answered: ghernadez

$2,880\ cm^{3}$

Step-by-step explanation:

we know that

The volume of a container is equal to the volume of a cylinder plus the volume of one sphere

Step 1

Find the volume of a cylinder

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=5\ cm, h=30\ cm$

substitute

$V=\pi (5)^{2}(30)$

$V=750\pi\ cm^{3}$

Step 2

Find the volume of a sphere

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=5\ cm$

substitute

$V=\frac{4}{3}\pi (5)^{3}$

$V=\frac{500}{3}\pi}\ cm^{3}$

Step 3

Find the volume of the container

$750\pi\ + \frac{500}{3}\pi}=2,879.79\ cm^{3}$

Round to the nearest cubic centimeter

$2,880\ cm^{3}$

answered: nicky123415

$2880\text{ cm}^3$ .

Step-by-step explanation:

We have been that a container is shaped like a cylinder with half spheres on each end. The cylinder has a length of 30 centimeters and a radius is 5 centimeters.

To find the volume of container we will use volume of container and volume of sphere formula.

Since half spheres are on the each side of cylinder, so adding them we will get one sphere.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r represents radius of sphere.

$\text{Volume of sphere}=\frac{4}{3}*\pi*\text{(5 cm)}^3$

$\text{Volume of sphere}=\frac{4}{3}*\pi*125\text{ cm}^3$

$\text{Volume of sphere}=\frac{500}{3}\pi\text{ cm}^3$

$\text{Volume of sphere}=166.6666666\pi\text{ cm}^3$

$\text{Volume of cylinder}=\pi r^2h$ , where r represents radius and h represents height of cylinder.

$\text{Volume of cylinder}=\pi*\text{ (5 cm)}^2*30\text{ cm}$

$\text{Volume of cylinder}=\pi*25\text{ cm}^2*30\text{ cm}$

$\text{Volume of cylinder}=750\pi\text{ cm}^3$

$\text{Volume of container}=750\pi\text{ cm}^3+166.6666666\pi\text{ cm}^3$

$\text{Volume of container}=916.6666666\pi\text{ cm}^3$

$\text{Volume of container}=2879.79326558120\text{ cm}^3\approx 2880\text{ cm}^3$

Therefore, the volume of our given container is $2880\text{ cm}^3$ .

answered: Guest

step-by-step explanation:

7+3=10

answered: Guest

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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Acontainer is shaped like a cylinder with half spheres on each end. the cylinder has a length of 30...