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
9514 1404 393
Answer:
B 2/6
Step-by-step explanation:
2 of the 6 possible outcomes are ones that are of interest. A "fair" die means the mutually-exclusive outcomes have equal probability, so ...
P(4 or 5) = P(4) +P(5) = 1/6 + 1/6 = 2/6
Answer:5y+13
Step-by-step explanation:
(-y + 5a - 4) + (3y - a - 5) is simplified to 2y + 4a - 11
Answer:
there is no solution 64x-16=64x-16
Step-by-step explanation:
if you distrubute then you will see the numbers are the same on both sides
