The formula for the volume of a cylinder is
V = π×r²×h
Substitute your given numbers and solve for h.
48.2 ft³ = π×(3.2 ft)²×h
h = (48.2 ft³)/(π×(3.2 ft)²)
h ≈ 1.5 ft
The height of the pool is about 1.5 feet.
The slope is 5.
And the y-intercept is 0.
Hope I helped! <3
Answer:
or
Step-by-step explanation:
step 1
Find the radius of the circular base of the cone
The volume of the cone is equal to
we have
substitute
simplify pi
step 2
Find the volume of the hemisphere
The volume is equal to
we have
----> is the same that the radius of the cone
substitute
step 3
Find the volume of the solid shape
we know that
The volume of the solid shape is equal to the volume of a cone plus the volume of a hemisphere
so
Convert to mixed number
3 more. The color doesn't matter at all. It's all about the amount.
Answer:
x=-10
Step-by-step explanation:
4.5(8-x)+36=102-2.5(3x+24) first you multiply 10 to both sides
4.5(8-x)x10+36x10=102x10-2.5(3x+24)x10
Then you have to refine the equation
45(8-x)+360=1020-25(3x+24)
Then you expand it
45(8-x)+360
=360-45x+360
Simplify
360-45x+360 -45x+720
Expand it one more time
-45x+720=-75x+420
Subtract 720 from each side
-45x+720-720=-75x+420-720
Simplify
-45x=-75x-300
Add 75x to both sides
-45x+75x=-75x-300+75x
Simplify
Divide both sides by 30
30x/30=-300/30
Then you get -10