Answer:
The equation of the sphere in standard form is

Step-by-step explanation:
<u>Step 1</u>:-
The equation of the sphere having center and radius is

Given centered of the sphere is (-6,10,5) and radius r=5

on simplification,we get


simplify , we get

Answer:
7.3 in
Step-by-step explanation:
Area of triangle = (1/2) *b*h
27 = (1/2) * x^2
54 = x^2
square root (54) = x
x=> 7.3484....
Rounding off to 1 decimal place, you get 7.3 in.
Sin angle that equals the 1/2 value is the 30 degree on the 1st Quadrant.
The angle of 30 degree on the 3rd Quadrant is equivalent to (formula and circle in the 1st photo) 180 + 30 = 210°.
So theta = 210° (3rd Quadrant) = 30° (1st Quadrant).

Now just transfer the cos 30° to the 3rd Quadrant and the signal will be negative (as shown in the 2nd photo attached).
Possible unit is m³
<u>Step-by-step explanation:</u>
- The possible unit for volume of a cone is m³
- Volume of a cone = Base area × Height
- Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
- In the given options, the only unit that is in cubic form is m³