A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.

4.4cm

Step-by-step explanation:

The area of a circle is , where r is the radius.

Hence the volume of the cylinder would be , where r is the radius and h is the height of the cylinder.

We can set up an equation V =

If we plug in the values we know, V=480, h=8, then we get

If we divide both sides be 8pi and square root both sides after that, we can find the value of r.

To the nearest tenth, the radius would round up, yielding 4.4cm

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet