Step-by-step explanation:
The top part is a cone. It's volume is:
V = ⅓ π r² h
where r is the radius (half the diameter) and h is the height.
The bottom part is a cylinder. It's volume is:
V = π r² h
where r is the radius (half the diameter) and h is the height.
The radius of the cone is 36/2 = 18 ft, and the height is 12 ft. So the volume is:
V = ⅓ π (18 ft)² (12 ft)
V = 4,071.5 ft³
The radius of the cylinder is 36/2 = 18 ft, and the height is 39 ft. So the volume is:
V = π (18 ft)² (39 ft)
V = 39,697.2 ft³
Therefore, the total volume is:
4,071.5 ft³ + 39,697.2 ft³ ≈ 43,769 ft³
Answer:
The answer is...
Step-by-step explanation:
Purplea
we know that
triangles BCD and ACE are similar
so, their ratios of sides must be equal
Calculation of y:
we can see that
AC=AB+BC
AC=y+3
CE=CD+DE
CE=4+6
CE=10
now, we can plug values
now, we can solve for y
Calculation of AC:
we know that
AC=y+3
we can plug y
and we get
...................Answer
Answer:
Option (2) is correct.
Step-by-step explanation:
Given : two a system of linear equation as
x+ y = 5 and
2x+ y = 7
We have to choose out of given options that could be the result of using comparison method to solve the given system .
COMPARISON METHOD
In comparison method we find a value for the single variable in term of others in given equations and compare the two equations.
Here, we first find the value of y in both equation and then compare,
Thus, x+ y = 5 ...........(1)
2x+ y = 7 .........(2)
From (1) , y = 5- x ..........(3)
And from (2) , y = 7- 2x ......(4)
Now, comparing (3) and (4) , we have,
5- x = 7- 2x
Thus, option (2) is correct.