Answer:
The desired radius is r = 7.5 inches
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³. A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.
We know that the volume of the hemisphere is 885 in³:
885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.
This is equivalent to:
885 in³ = (2π/3)r³.
We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):
(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³
Then r³ = 422.556 in³
Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:
r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)
The desired radius is r = 7.5 inches
The difference between the area of the entire polygon and the area of the unshaded part inside the polygon
The hundreds column is the 3rd digit to the left of the decimal point, in this case it's the 1.
Look at the number 1 to the right of it. If its 5 or above, you round the number up, if it's below 5 you leave it the same.
In this case the number after the 1 is another 1, so you don't round it up.
118.380 to the nearest hundred is 100
Answer: The Kinetic Energy Formula is: KE = mass x velocity^2 / 2
Plug in the correct numbers into the variables
KE = 1500 kg x 10 m/s ^2 / 2
Square the 10 m/s
KE = 1500 kg x 100 m/s / 2
Multiply
KE = 150,000 / 2
Divide
KE = 75,000 Newton-meters or joules
Step-by-step explanation:
Yeah, x= 7/2 and y= -5/2
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