Volume of cylinder = πr²h = π x 4² x 6 = 96π
volume of cone = 1/3πR²H = 1/3π x 8² x 12 = 256π
You can see that volume of cone is more than twice of volume of cylinder. So she is not correct
Step 1: 0.026=26/1000
Step 2: Simplify 26/1000=13/500
Answer:
Base = 24 ft; height = 47 ft
Step-by-step explanation:
The formula for the area of a triangle is
A = ½bh
Let x = the base. Then
2x - 1 = the height

We reject the negative value, so x = 24 ft
Base = x = 24 ft
Height = 2x - 1 = 2(24)-1 = 48 - 1 = 47 ft
Check:
564 = ½ × 24 × 47
564 = 564
OK
Answer:
1)7.288 feet
2)11.6 feet
3)safe
4) 3.7 feet
5) ∅
6)∅1
∅2
Step-by-step explanation:
1) The door barn is rectangular in shape. The length is 9 feet and The angle between diagonal and side is 39 degrees.
Applying trigonometry,
tan(39) =
= 0.809
Thus, s= 
2) Applying pythagoras theorm,

Diagonal length (d) = 11.58 feet. Nearest tenth place = 11.6 feet
3) The length of ladder is 14 foot and height from ground is 13.5 feet.
Applying trigonometry,
sin(∅) =
= 0.964
∅ = angle of elevation =
= 74.57 ≈ 75 degrees.
Thus tractor can climb safely.
4)Applying, pythgoras theorm,

x = 
Thus, ladder should be placed at distance 3.7 feet
5)Let angle of elevation be ∅.
tan(∅) = 
∅
6)After moving 5 feet closer to barn, Let angle of elevation for light near barn be ∅1 and for farther one be ∅2.
Thus,
tan(∅1) = 
∅1
tan(∅2) = 
∅2