Purchased a vase and flowers at her local flower shop. At home, she wants to fill the cylindrical vase and at the store, they told her that the vase should be filled 2/3 full for the flowers to last longest. Her vase has a diameter of 2
inches and the height is 9 inches. How much water (in cubic inches) should Tessa pour into the vase with her
flowers? Show all of your calculations in your answer.

Step-by-step explanation:

We know that

Radius = Diameter/2

=> Radius = 2/2

=> Radius = 1 in

Now,

Volume of cylinder = πr²h

=> π × (1)² × 9

=> 9π in³

Since it is filled ⅔ of the volume

So,

Water to be putted = ⅔ × 9π = 6π in³

26

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204