sin H = Opposite / Hypotenuse
sin H = 5/13
sin H = 0.384615
<H = 22.6198
<H = 23 (nearest degree)
Answer is first one.
23
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Answer:
The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.
Step-by-step explanation:
Geometrically speaking, the volume of the right circular cone (
), in cubic inches, is defined by the following formula:
(1)
Where:
- Radius, in inches.
- Height, in inches.
Then, we derive an expression for the rate of change of the volume (
), in cubic inches per second, by derivatives:
(2)
Where:
- Rate of change of the radius, in inches per second.
- Rate of change of the height, in inches per second.
If we know that
,
,
and
, then the rate of change of the volume is:

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.
We first use midpoint formula
X1+X2 divided by 2 we want x for midpoint.
Y1+Y2 divided by 2 we want Y for midpoint
10-4 divided by 2 =3
7-0 divided by 2 =7/2
therefore midpoint= (3;7/2)