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:
235.62 cubed yards
Step-by-step explanation:
Area of a cylinder = pi(r^2)*h
pi(5^2)*3 = 235.62
Answer:
The answer is 4/5
Step-by-step explanation:
-1/2 y ≤ -2/5
1/2y ≤ 2/5
y ≤ 2 × 2/5
y ≤ 4/5
Thus, The value of y is 4/5
<u>-TheUnknownScientist 72</u>
Answer:
40
Step-by-step explanation:
So, let's say you have -5, the opposite of that is 5,opposite numbers always have the sum of 0, just are something about money where you have 2 opposite numbers
