In cylindrical coordinates, we take



so that
.
We have

and the integral is

Answer:
1774.67π mm³
Step-by-step explanation:
Please find attached to this question, the required diagram.
From the question, we are told we have a spherical mold.
We would find the volume of a spherical mold using the formula for the volume of a sphere.
The volume of a sphere is calculated as : 4/3πr³
From the attached diagram, we are given the Diameter do the spherical mold as: 22mm
Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm
The volume of the spherical mold = 4/3 × π × 11³
= 1774.6666667π mm³
Approximately and leaving it in terms of pi (π)= 1774.67π mm³
The blue ray and the tv combined is 490 so just divide by 2 there’s your answer bud
The confidence interval would be (10.44, 12.16). This means that if we take repeated samples, the true mean lies in 90% of these intervals.
To find the confidence interval, we use:

We first find the z-value associated with this. To do this:
Convert 90% to a decimal: 90% = 90/100 = 0.9
Subtract from 1: 1-0.9 = 0.1
Divide by 2: 0.1/2 = 0.05
Subtract from 1: 1-0.05 = 0.95
Using a z-table (http://www.z-table.com) we see that this is directly between two z-scores, 1.64 and 1.65; we will use 1.645: