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:
500
Step-by-step explanation:
r = 5
r³ = 125
V = (4/3)pi(r³)
pi = 3
V = (4/3)3(125)
/3 and x3 cancel
V = 4 x 125
V = 500
4 * 15 = 60
x * y = 60
x + y = 17
What two numbers multiply to get 60 and add to get 17
A=4*<span>π*r^2
A=4*</span><span>π*2^2
=50.3</span>