15 cm is the height of water in a cylindrical container of radius r. What is the height of this quantity of water if it is poured into a cylindrical container of radius 2r?

The height of container in which water is poured is 3.75 cm

Step-by-step explanation:

height of the cylinder (H)= 15 cm

radius of the cylinder = r cm

if the water is poured into the another cylindrical cylinder then the volume of both the containers are equal

radius of the container in which water is poured (h)= 2r

then

volume of cylinder = volume of container in which water is poured

hence ,The height of container in which water is poured is 3.75 cm

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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.