The volume of a cylinder is πr²h:

v = πr²h
v = π(6² x 4)
v = 144π

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 3)(y + 5)
(y x y) + (y x 5) + (3 x y) + (3 x 5)
y² + 5y + 3y + 15
y² + 8y + 15

You need to find the value of a so solve the first equation in terms of x:

-9a + x = 3
x = 3 + 9a

then substitute the result (3 - -9a) into the second equation:

-8a + 9(3 + 9a) = 8
-8a + (9 x 3) + (9 x 9a) = 8
-8a + 27 + 81a = 8
-8a + 81a = 8 - 27
73a = -19
a = \( \frac{-19}{73} \)
a = -\(\frac{19}{73}\)

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 3 x 8
a = 24