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We halve the diameter of 6 to get a radius of 3, and are given a height of 10. As we have two hemispheres, we can combine them into one sphere, so we would take the volume of a sphere with r=3 and add it to the volume of a cylinder with r=3 and h=10. Volume of a sphere is (4/3)pi*r^3 and volume of a cylinder is pi*r^2*h. Plugging in our values and adding, we get 
. This makes your answer 126*pi inches, which is roughly 395.841 inches.
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Answer:
A'B' = 34 units
Step-by-step explanation:
Since the dilatation is centred at the origin , then multiply the coordinates by 2
A' = (2(0), 2(- 7) = (0, - 14 )
B' = (2(8), 2(8) = (16, 16)
Calculate the length using the distance formula
d =
with (x₁, y₁ ) = A'(0, - 14) and (x₂, y₂ ) = B'(16, 16)
d =
=
=
=
= 34
Answer:
see explanation
Step-by-step explanation:
The y- intercept is at (0, 6) ⇒ c = 6
The x- coordinate of the vertex is at the midpoint of the zeros, that is
m = =
= - 2
Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and
f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)
Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2
Thus
f(x) = 2x² + 8x + 6
Substitute m = - 2 into the equation for value of n
n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2
Hence
c = 6, m = - 2, a = 2, n = - 2