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:
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Step-by-step explanation:
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Step-by-step explanation:
Volume of cylindrical container
Answer: 6.2
Step-by-step explanation: 3.1 = x/2
x/2=3.1
x/2(2)=3.1(2)
x=6.2
Answer:
y = 3/4x + 17/4
Step-by-step explanation:
Step 1: Find slope <em>m</em>
m = (5 - 2)/(1 + 3)
m = 3/4
y = 3/4x + b
Step 2: Find <em>b</em>
5 = 3/4(1) + b
5 = 3/4 + b
b = 17/4
Step 3: Rewrite equation
y = 3/4x + 17/4
