Two similar cones have volume of 343pi cubic centimeters and 512pi cubic centimeters. The height of each cone is equal to 3 times its radius. Find the radius and height of both cones

For the first cone: r = 7 cm, h = 21 cm

For the second cone: r = 8 cm, h = 24 cm

Step-by-step explanation:

The volume of the first cone is

The volume of the second cone is

We are told that the height of each cone is 3 times its radius, hence:

h = 3r

The volume of a cone is given as:

Substituting h = 3r:

For the first cone, V = , radius, r, will be:

∴ Its height will be:

h = 3r = 3 * 7 = 21 cm

For the second cone, V = , radius, r, will be:

∴ Its height will be:

h = 3r = 3 * 8 = 24 cm

The radius and height of the first cone are 7 cm and 21 cm respectively while the radius and height of the second cone are 8 cm and 24 cm respectively.

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.  

um is there supposed to be a picture?