Answer is :
cos⁻¹[(-1-4√7)/(√17, √8) = 173.33° ≈ 173°
Answer:
45.82 square inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, A = 4
r²
If the diameter is 3.82 inches, the radius is 1.91 inches.
Plug in 3.14 as and 1.91 as r, and solve:
A = 4r²
A = 4(3.14)(1.91²)
A = 45.82
So, approximately 45.82 square inches of material are needed.
Answer:
7.5 MW
Step-by-step explanation:
The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:
Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)
P = ρQgh
But Qh = Velocity(v) * volume(V).
Hence power = ρvgV
Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:
P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W
P = 7.5 MW
