What is the area of the figure? Enter your answer in the box.
1 answer:
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Answer:
a = . Surface Area =
. and area of the Dish =
+pi
=
+50.27=51.6
Step-by-step explanation:
(1) Constant. y(x) = a that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.
y max = 2, x max = 4 setting up a equation with a unknown gives
2=a4 and a = .
so we have now.
y(x) = (Done with solving for a Constant).
(2) Surface Area.
Setting Up surface integral.
(i) range in x = 0 to 4.
(ii) range in y = 0 to 2.
integral is.
Integral(0-2)[{integral[(0-4)]}]dy
Evaluating this integral gives. .
and area is surface area + area of the circle with 8ft diameter.
= +pi
=
+50.27=51.6
...
Note the Difference between area and aurface area.!