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:
a=2,3
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
6 times -2 is -12.
_____
"Lowers by 2°" can be represented by an integer of -2.
Answer:
The answer is C one solution
Step-by-step explanation:
x-y=-14
-y=-x-14 bring x to the other side
y=x+14 divide everything by -1
-x-y=14
-y=x+14 bring x to the other side
y=-x-14 divide everything by -1
