A cylindrical juice glass is 8 centimeters tall and has a radius of 3 centimeters. If the glass is full, which of the following is closest to the volume of the filled portion? A) 28 cm C) 170 cm B) 226 cm D) 98 cm PLEASE HELP!​

226

Step-by-step explanation:

You first have to find the volume of the cylinder, which you would do 3 squared, which is 9, times 8, which is 72, and then times pi, which gives you 226.1946711. Since they want the closest volume to that number, it would just be 226. If you are confused on the equation, the equation for the volume of a cylinder looks like this:  , where r is the radius and h is the height.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240