Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
Answer:
87
Step-by-step explanation:
Smaller number = 43
Bigger number= 44
Sum = 43+44
Answer:
(0, 0), (4, 0), (4, -5)
Step-by-step explanation:
This one keeps the same lengths of the previous triangle. It also keeps the same proportions (or something) etc, etc. I solved this problem by graphing and seeing which one fit best.
Answer:
16.24°
Step-by-step explanation:
Are you trying to find the angle of depression from the camera to the cashier?
Assume that the camera is 2.24 m high and the cashier is 7.69 m away.
1. Angle of elevation from cashier
tanθ = 2.24/7.69 = 0.2913
θ = arctan(0.2913) = 16.24°
2. Angle of depression from camera
∠ of depression = ∠ of elevation = 16.24°
Answer:
0. 542
Step-by-step explanation:
