A town is storing salt for the winter in a cylindrical building. The building has a radius of 5 ft and is 30 ft tall. The building contains 1,500 ft3 of salt. What is the approximate height that the salt reaches in the building? The answer are:
A. 0.5 ft
B. 5 ft
C. 19 ft
D. 22 ft

To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.

We know r = 5, h = 30, and v = 1500

The volume for a cylinder in 3d is : V=h

We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.

Using our volume equation we plug in all values except h because we're solving for it.

1500=

1500=

1500=25(h)

1500/25 = h

60/ = h

60/ = 19.0985

H is 19ft. (C)

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation: