Answer:
The volume of the cone is 128π mm³ ⇒ answer (C)
Step-by-step explanation:
* Lets study the cone
- Its base is a circle
- Its height the perpendicular distance from its vertex to
the center of the base
- The length of its slant height = √(h² + r²)
- The volume of the con is 1/3 the volume of the cylinder
∵ The volume of the cylinder = πr²h
∴ The volume of the cone = (1/3) πr²h
* In our problem:
- r = 4 mm
- h = 24 mm
∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³
* The volume of the cone is 128π mm³
Answer: Line
Explanation: Points that lie on the same line are called <em>collinear</em> points.
I'll show you an example.
Below, points E, B, and D are collinear since they lie on the same line.
I have highlighted the line green to see it more clearly.
However, C, B, and D would not be collinear
since they don't all lie on the same line.
Answer:
1/6
Step-by-step explanation:
P(8) = number of 8's / total = 1/3
Then keeping the card so we have 7 and 9
P(7) = number of 7's / total = 1/2
P(8, keep, 7) = 1/3 * 1/2 = 1/6
FALSE
The standard form of the equation of a circle is

With (a, b) representing the centre and r representing the radius.
The radius of the circle in the attachment is 5, and therefore the circle has the following equation.

~ Hope this helps you!