The volume of a right cylindrical water tank is 5000 cubic meters. The radius of the base of the tank is 20 meters. Find the length in meters, of h, the hight of the tank. A. 15 m B. 10 m C. 10.5 m D. 12.5 m

10 m

Explanation:

The volume of a cylinder is given by

V = pi r^2h

We know the radius is 10 and the volume is 1000pi

1000pi = pi (10)^2 h

1000 pi = 100 pi h

Divide each side by 100 pi

1000 pi/100pi = 100 pi h/100pi

10 = h

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;