In the figure on the right, STWC space is a square centered at the origin with side length 2a What are the coordinates of the ve
rtices?
1 answer:
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The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.
<h3>How to calculate the volume of a hemisphere?</h3>The volume of the hemisphere is calculated by using the formula,
= × π × r³ cubic units
where r is the radius of the hemisphere.
<h3>Calculation:</h3>It is given that,
A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.
So, the volume of the bowl is
V = × π × (1)³
= × π cubic feets
The volume of each smaller hemisphere-shaped mold = × π × r³ cubic units
So, for 27 molds, the volume = 27 × × π × r³ cubic units
All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.
Then,
× π = 27 ×
× π × r³
⇒ r³ = 1/27
⇒ r = 1/3 ft
Therefore, the required radius of each of the smaller molds is 1/3 foot.
Learn more about the volume of a hemisphere here:
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The mean is 6394530.35 and the median is = 3355572.5
The missing data is attached in the answer.
<h3>What is Mean ?</h3>Mean is the average value of the data points , it is determined by dividing the total sum of the data points to the number of data points.
Mean and Median is the measure of the central; tendency of the data.
Mean is given by
Sum of the observations/number of observations
= (741894 + 6931071....)/20
= 6394530.35
2) To find median
The data needs to be arranged in ascending order
Then the median is the middle number of the arranged data
Here the median is = 3355572.5
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