Classify the shapes based on their volumes.
a cone with a radius of 12 units
and a height of 6 units,
a cylinder with a diameter of 12 units
and a height of 27 units,
a sphere with a diameter of 12 units,
a cylinder with a diameter of 8 units
and a height of 18 units,
a sphere with a radius of 9 units,
a cone with a diameter of 18 units
and a height of 36 units

1.  volume of cone = 288π cube units

2.  volume of cylinder = 972π cube units

3.  volume of sphere = 288π cube units

4.  volume of cylinder = 288π cube units

5.  volume of sphere = 972π cube units

6.  volume of cone = 972π cube units

Step-by-step explanation:

1.  Radius of cone (r) = 12units

height of cone(h)  = 6units

volume of cone = π/3r²h  

=π/3.12.12.6

=π.12.12.2

=288π cube units

2.  diameter of cylinder(d) = 12units

radius of cylinder (r) = 6units

height of cylinder (h) = 27 units

volume of cylinder = πr²h

= π.6.6.27

= 972π cube units

3.   diameter of sphere = 12 units

radius of sphere = 6 units

volume of sphere = 4π/3.r³

= 4π.2.6.6

= 288π cube units

4.  diameter of cylinder (d) = 8 units

radius of cylinder (r) = 4 units

height of cylinder(h) = 18units

volume of cylinder = πr²h

= π.4.4.18

= 288π cube units

5.   radius of sphere(r) = 9 units

volume of sphere = 4π/3.r³

= 4π/3.9.9.9

= 4π.3.9.9

= 972π cube units

6.  diameter of cone (d) = 18 units

radius of cone (r) = 9 units

height of cone (h) = 36 units

volume of cone = π/3.r².h

= π/3.9.9.36

= π.3.9.36

=972π cube units

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

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