Find the volume of a cylinder if the volume of the cone is 120 cubic inches with the same base and height

Volume of cylinder = 360.010cubic inches

Step-by-step explanation:

Volume of a cone

V = πr^2h/3

V - volume

π - pie

r - radius

h - height

Given

V = 120 inches cubic

π - 3.142

120 = 3.142 * r^2 * h/3

120 = 3.142r^2h/3

120 = 3.142/3 * r^2h

120 = 1.0473r^2h

r^2h = 120 / 1.0473

= 114.580

Make h the subject of the formula

h = 114.580 / r^2

Gotten the value for h, substitute h into the formula for volume of a cylinder

Since the cone and the cylinder has the same base and height

V = πr^2h

h = 114.580/r^2

π - 3.142

V = 3.142 * r^2 * (114.580/r^2)

V = 3.142 * r^2 * 114.580/r^2

r^2 divides r^2

V = 3.142 * 114.580

V = 360.010 cubic inches

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;