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:
Variable A and variable B have a negative linear association.
Step-by-step explanation:
We are asked to find which best describes the association between variable A and variable B.
From the scatter plot we could clearly see that as the value of variable A are increasing the corresponding value of variable B is decreasing.
Also we could see that the points are linear.
Hence, the relationship that best describes variable A and variable B is:
Negative linear Association
Step-by-step explanation:
DA=13.................
Answer:
Multiply numerator and denominator with same number to gwt the answers . There are infinitely many numbers
3/10 × 2/2 = 6/20
3/10 × 5/5 = 15/50
3/10 × 10/10 = 30/100
And so on
The answer is 5400.000. Hope this helps.
