An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. at the same time 8cm^3 of sand is taken out of the vase every minute. after how many minutes will the base be half filled with sand?

General Idea:

The volume of cylinder is given by , where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder

Volume of half cylinder

Step 2: Let x be the number of minutes of filling the sand.

of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute.

of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute

Volume of sand filled in x minutes .

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

Conclusion:

The number of minutes required for the base be half filled with sand is 57

25

step-by-step explanation:

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all