Answer: lenght x widthx height
Step-by-step explanation:
Answer:
4.08
Step-by-step explanation:
Answer:
the volume is V=12π
Step-by-step explanation:
using cylindrical coordinates
x= rsin θ
z= rcos θ
y=y
therefore
y+z=4 → y= 4-z = 4-r cos θ
also from x²+z²=4 → -2≤x≤2 , -2≤z≤2
therefore since y= 4-z → 6≤y≤2 → it does not overlap with the plane y=1
V=∫∫∫dV = ∫∫∫dxdydz = ∫∫∫rdθdrdy = ∫∫rdθdr [(y=4-r cos θ,y=1) ∫ dy] =
∫∫[(4-rcosθ) - 1]rdθdr = ∫∫(3-rcosθ) rdθdr = ∫dθ [r=2,r=0] ∫(3r-r²cosθ) dr
∫ (3/2* 2²- 2³/3 cosθ) dθ =[θ=2π, θ=0] ∫ (6-8/3 cosθ) dθ = 2π*6 - 8/3 sin0 = 12π
thus
V= 12π
to verify it, the volume should not be bigger than the volume if the cross section was a square and thus the volume enclosed would be:
V = [(2-(-2)]² * (6-2) /2 + [(2-(-2)]² * (2-1) = 4³/2 + 4²*2 = 64 > 12π
Answer:
d
Step-by-step explanation:
a slop is if its vertical dangle or across. If you place the 2 coordinates on the plot, you count the spaces between which is -2/5.
Answer:
i need the points
Step-by-step explanation:
