What is the exact volume of the sphere? 2481.156π cm³ 7263.39π cm³ 7790.83π cm³ 22807.05π cm³ Sphere with dotted line extending
from middle point of sphere to edge. Line is labeled twelve and three-tenths centimeters. Thank you!!!!
1 answer:
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The area of the ellipse is given by
To use Green's theorem, which says
( denotes the boundary of
), we want to find
and
such that
and then we would simply compute the line integral. As the hint suggests, we can pick
The line integral is then
We parameterize the boundary by
with . Then the integral is
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Notice that kind of resembles the equation for a circle with radius 4,
. We can change coordinates to what you might call "pseudo-polar":
which gives
as needed. Then with , we compute the area via Green's theorem using the same setup as before:
a. The department that accounts for approximately one-fifth of the annual budget, based on the pie chart, is the <u>Research Department</u>.
b. The percentage of the annual budget used by the Marketing and Sales departments combined is 30%.
c. If 18% of the annual budget is used for Research, approximately the percentage used for Marketing is 9%.
<h3>What is a pie chart?</h3>A pie chart is a graphical representation of data in a circle. In this pie chart, the area or percentage of the whole circle is 100%
Thus, we can obtain the values of the different groups represented in the pie chart by systematically dividing the circle accordingly.
The rule to follow is that vertical angles are always congruent (equal) as they have two lines that intersect to form opposite angles.
<h3>Data and Calculations:</h3>Research, Sales, and Marketing = 50% of the budget (half of the pie chart)
Research = 18%
Sales and Marketing = 32% (50% - 18%)
Research equals Media and Support and Media and Support are equal.
Therefore, Media is 9% (18%/2) and Support is also 9%.
Since opposite angles are always equal, Engineering (opposite to Sales and Marketing combined) is 32%.
This results in a total of 100% (18% + 32% + 9% + 9% +32%)
<h3>Question Completion:</h3>The pie chart attached shows how the annual budget for Equipment Producers Incorporated is divided by department. Use this chart to answer the questions below.
c) If 18% of the annual budget is used for Research, approximately what percentage is used for Marketing?
Thus, the department that accounts for approximately one-fifth of the annual budget, based on the pie chart, is the <u>Research Department</u>.
Learn more about the pie chart at brainly.com/question/23969670
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