An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.
We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.
This differential volume that the dome is increased is equal to the volume of the coat of paint.
The volume of the dome can be written as:
Now, we can calculate dV as:
Answer: the paint needed for this coat is approximately 7.92 m^3
<span>18.374 </span><span>r</span><span>ounded to the nearest tenth is </span><span>18.400.</span>
<span>Because 7 is after 5 so we will round to the next tenth......18.400
Hope I helped:P</span>
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.
Tap for more steps...
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
xy112-23-34-251
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
Answer:
a
Step-by-step explanation:
