1. what is a Cylinder
2 what is a Cone
3. what is a Sphere
5 Problems - SHOW ALL WORK!
1. What is the radius if the Diameter is 20cm?
2. What is the Diameter if the Radius is 6in?
3. Find the Area of the circle if the given radius is 3 cm, use 3.14 for pi.
4.Find the Circumference of the circle if the diameter is 20in. Use 3.14 for pi.
5. Unwrap the figure and tell what 2D shapes make up the 3D figure. Include dimensions of the shapes.
1. A Cylinder is a three-dimensional shape with two parallel circular bases and a curved surface connecting them.
2. A Cone is a three-dimensional shape with a circular base that tapers to a point at the top.
3. A Sphere is a three-dimensional shape that is perfectly round in shape, similar to a ball.
Problems:
1. Radius = Diameter/2
Radius = 20cm/2 = 10cm
2. Diameter = 2 * Radius
Diameter = 2 * 6in = 12in
3. Area of a circle = π * radius^2
Area = 3.14 * (3cm)^2
Area = 3.14 * 9cm^2
Area = 28.26 cm^2
4. Circumference of a circle = π * diameter
Circumference = 3.14 * 20in
Circumference = 62.8in
5. Unwrapping the cylinder:
- The curved surface of the cylinder can be unwrapped to form a rectangle. The length of the rectangle would be the circumference of the base, which is 20in, and the width would be the height of the cylinder.
- The two circular bases of the cylinder can be seen as circles. The radius of each circle would be the same as the radius of the cylinder, which is half of the diameter, so in this case, it would be 10in. The diameter of the circle would be 20in.