The volume of the cylinder in terms of π is 18,095.5736 square yards,
the volume of the cylinder by using π equals 3.14 is 18.086.4 square yards.
Step-by-step explanation:
Step 1; The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h). The given cylinder has a radius of 12 yards and a height of 40 yards.
The volume of any cylinder = π × r² × h.
Step 2; The value of π equals 3.14159263588. So substituting this value in the equation to calculate the volume we get
The volume of the given cylinder = 3.14159263588 × 12² × 40 = 18,095.5736 square yards.
Step 3; If we substitute the value of π as 3.14 in the equation to calculate the volume, we get
The volume of the given cylinder = 3.14 × 12² × 40 = 18.086.4 square yards.
Answer: 173.26 ft = 173 ft
Step-by-step explanation:
h tree: 76 ft
h man: 6 ft
As we can see on the sketch, they form a right triangle, so:
tan 22 = 76/y ⇒ 0.404 = 76/y ⇒ y = 76*0.404 ⇒ y = 188.11 ft
tan 22 = 6/x ⇒ 0.404 = 6/x ⇒ x = 6*0.404 ⇒ x = 14.85 ft
distance between the man and the tree = y - x = 188.11 - 14.85 = 173.26 ft
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given equation can be re written as
............(i)
Now it is given that y(π/2) = 2e
Applying value in (i) we get
ln(2e) = sin(π/2) + c
=> ln(2) + ln(e) = 1+c
=> ln(2) + 1 = 1 + c
=> c = ln(2)
Thus equation (i) becomes
ln(y) = sin(x) + ln(2)
ln(y) - ln(2) = sin(x)
ln(y/2) = sin(x)
