Cylinder
Cone
Sphere
5 Problems - SHOW ALL WORK!
What is the radius if the Diameter is 20cm?
What is the Diameter if the Radius is 6in?
Find the Area of the circle if the given radius is 3 cm, use 3.14 for pi.
Find the Circumference of the circle if the diameter is 20in. Use 3.14 for pi.
Unwrap the figure and tell what 2D shapes make up the 3D figure. Include dimensions of the shapes.
1. Given that the diameter of the cylinder is 20 cm, we divide the diameter by 2 to find the radius:
Radius = Diameter / 2
Radius = 20 cm / 2
Radius = 10 cm
2. Given that the radius of the cone is 6 in, we double the radius to find the diameter:
Diameter = 2 * Radius
Diameter = 2 * 6 in
Diameter = 12 in
3. The area of a circle is given by the formula A = πr^2. Given that the radius is 3 cm, we calculate the area:
A = π * (3 cm)^2
A = 3.14 * 9 cm^2
A ≈ 28.26 cm^2
4. The circumference of a circle is given by the formula C = πd. Given that the diameter is 20 in, we calculate the circumference:
C = π * 20 in
C = 3.14 * 20 in
C ≈ 62.8 in
5. When you unwrap a cylinder, you get a rectangle and two circles. The dimensions of the shapes are as follows:
- Rectangle: 20 cm (width of the rectangle) and the height of the cylinder
- Circle 1: Radius of 10 cm (end cap of the cylinder)
- Circle 2: Radius of 10 cm (end cap of the cylinder)