Answer:
=-15
Step-by-step explanation:
Tiger solves YOUR Linear Equations step by step using the Substitution Method, showing work{-2x+3y=20;4x+4y=-15}
STEP-BY-STEP SOLUTION:
= 4x^2 + 27 - 7
= 4x^2 + 20
= 4 ( x^2 + 5 )
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We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
Answer:
parallel
Step-by-step explanation:
We are cutting in the same direction as the base, so the slices is parallel to the base
