The formula for the volume of a cylinder is V=3.14r^2(h).
So substituting the volume: 20,403.72=3.14r^2(h).
To solve for ‘r’, divide both sides by 3.14h
r^2=6,498/h
Then find square root of both sides
r= sqrt(6,498/h)
Since ‘h’ is not specified here, it cannot be solved further.
Answer:
25.133 units
Step-by-step explanation:
Since the density ρ = r, our mass is
m = ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2 and the maximum values of r = 2 in those directions. So
m =∫∫[∫r³sinθdΦ]drdθ
m = ∫[∫2πr³sinθdθ]dr ∫dФ = 2π
m = ∫2πr³∫sinθdθ]dr
m = 2π∫r³dr ∫sinθdθ = 1
m = 2π × 4 ∫r³dr = 4
m = 8π units
m = 25.133 units
Answer:
W=7
Step-by-step explanation:
-3W+27=6
Subtract 27 from both sides to isolate the variable.
-3W=-21
Divide by -3 to solve for W
w=7
Answer:
No solution
Step-by-step explanation:
x - 4y = 1 --> (1)
5x - 20y = 4 --> (2)
y = (¼)x - ¼ --> (1)
y = (¼)x - ⅕ --> (2)
Since these are 2 parallel lines with different y-intercepts, they will never meet
I would substitute y = x^2
4y^2 -21y+20=0
