Asphere has a diameter of 14 units. what is the volume of the sphere in cubic units? if a cylinder has the same radius as the sphere and a height of 14 units, what is the volume of the cylinder? use 3.14 for π.

cubic units.

cubic units.

Step-by-step explanation:

We have been given that a sphere has a diameter of 14 units. We are asked to find the volume of our given sphere.

, where r represents the radius of sphere.

First of all, let us divide the diameter of sphere by 2 to find the radius of our given sphere.

Therefore, the volume of sphere is 1436.03 cubic units.

, where,

r = Radius of cylinder,

h = Height of cylinder.

Upon substituting our given values in above formula we will get,

Therefore, the volume of cylinder is 2154.04 cubic units.

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.