Answer:
step by step
Step-by-step explanation:
where
r = radius
h= height
Area of a cylinder = 2πrh+2πr^2
Area of a cylinder = 2π8(3)+2π8^2
Area of a cylinder = 176π = 552.92
Area of a hemisphere= 3r2π
Area of a hemisphere= 3(2)2π
Area of a hemisphere= 12π = 37.699111843
Area of the cylinder in this problem
176π - 12π = 164π
Answer:


Step-by-step explanation:
Given

Required
Find all product of real values that satisfy the equation

Cross multiply:


Subtract 7 from both sides


Reorder

Multiply through by -1

The above represents a quadratic equation and as such could take either of the following conditions.
(1) No real roots:
This possibility does not apply in this case as such, would not be considered.
(2) One real root
This is true if

For a quadratic equation

By comparison with 



Substitute these values in 


Add 56 to both sides


Divide through by 4

Take square roots


Hence, the possible values of r are:
or 
and the product is:


Answer:
= - 6 x + 20 y - 16
Step-by-step explanation:
step one . multiply the parenthesis by -2
step two . multiply whats left
step three . DONE
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Answer:
∑ (n = 1 to 5) (2·(-4)^(n - 1))
S5 = 2·((-4)^5 - 1)/((-4) - 1) = 410