Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = 
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = x 
x 
= 
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
Answer:
15
Step-by-step explanation:
The formula for distance when given vertices is
√(x2 - x1)² + (y2- y1)²
Where we have points (x1,y1) and (x2,y2)
So, (-2,7) and (3, -3)
Distance = √(3 -(-2))² + (-3 -7)²
= √5² + (-10)²
= √25 + 100
= √125
= 15
Therefore, the distance between (-2,7) and (3, -3) is 15
(-7,-5)
Step-by-step explanation:
3x-8y = 19
minus
3x + 5y = -46
0x - 13y = 65
- 13y = 65
÷-13
y = - 5
Substitute y = - 5 into one of the functions:
3x-8y = 19
-8 x - 5 = 40
3x + 40 =19
-40
3x. = - 21
÷3
x= - 7
Solution is (-7,-5)
Hope this helps!
x = 26 m is the width of the pool, length: 29+4 = 33 m.
<u>Step-by-step explanation:</u>
We have A rectangular pool is surrounded by a walk 3 meters wide. The pool is 4 meters longer than its width. If the total area of the pool walk is 372 square meters more than the area of the pool.
Let the width of the pool = x
Then the length will = (x+4) ,over all dimensions will be (x+6) by (x+6+4) or (x+10)
Total area - pool area = 372
∴ x = 26 ft is the width of the pool, length: 29+4 = 33 ft
