Kenji packed an exercise ball into a cylindrical package. The cylindrical package is made out of plastic. How much plastic was used to make the package? Express your answer in terms of π. Enter your answer in the box.

45

Step-by-step explanation

The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.

Volume of a cylinder = h

Lets say r is the radius and h is the height of the cylinder.

Given that; h = 5 feet and r = 3 feet.

The required volume = ×  × 5

                                  =  × 9 × 5

                                 = 45 cubic feet

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;