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
Step-by-step explanation:
→ 11x(7) = 14(9)
→ 77x = 126
→ x = 126 ÷ 77
→ x = 1.63
1 foot 8 inches. roll with it homie
Determine whether the relation is a function.<br><br>
(-3,3), (-2,2), (-1,1), (1,-1), (2,-2), (3,-3)
Luba_88 [7]
Answer:
Function
Step-by-step explanation:
Because there is an output for every input listed of its opposite.
