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a spherical model of planet earth has a radius of 3 ft.
what is the approximate volume of the model of planet earth?
use 3.14 to approximate pi. round to the nearest hundredth if necessary.
enter your answer in the box.

ft³

113.04 ft³

Step-by-step explanation:

The formula for the volume of a sphere is

V = 4/3πr³

Using 3.14 as pi and the radius measurement, we have

V = 4/3(3.14)(3³) = 113.04 ft³

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;

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm