Use the image to answer the question.
A cone shows a height marked as 12 and a diameter marked as 8, both indicated with perpendicular dotted lines. The slant height is marked as 10.
What is the radius of the cone?
(1 point)
Responses
4
4
8
8
12
12
10
To find the radius of the cone, we first need to understand the relationship between the radius, height, and slant height.
In a right cone, the slant height, height, and radius form a right triangle, where the slant height is the hypotenuse, the height is one of the legs, and the radius is the other leg.
Using the Pythagorean theorem, we have:
(radius)^2 + (height)^2 = (slant height)^2
Substituting the given values:
(radius)^2 + (12)^2 = (10)^2
Simplifying the equation, we have:
(radius)^2 + 144 = 100
Subtracting 144 from both sides:
(radius)^2 = 100 - 144
(radius)^2 = -44
Since the radius cannot be negative, there is an error in the image or given values. Therefore, we cannot determine the radius of the cone based on the given information.
The point on a cone where two or more line segments meet is called the(1 point)
Responses
face.
oblique.
vertex.
edge.
The correct answer is "vertex." The point on a cone where two or more line segments meet is called the vertex.
What is the radius of a cylinder with a diameter of 16 units?(1 point)
Responses
32 units
32 units
4 units
4 units
8 units
8 units
16 units
The radius of a cylinder is half of its diameter. In this case, the diameter is 16 units. Therefore, the radius would be half of 16, which equals 8 units.
So the correct answer is "8 units."
Use the image to answer the question.
An illustration shows a right circular cylinder with the height of its side labeled h and the radius of the top surface labeled r.
What type of cylinder is shown?
(1 point)
Responses
right circular cone
right circular cone
oblique circular cylinder
oblique circular cylinder
right circular cylinder
right circular cylinder
cylinder