11.6. Cones http://www.ck12.org
For questions 8-11, consider the sector of a circle with radius 25 cm and arc length 14π.
- What is the central angle of this sector?
- If this sector is rolled into a cone, what are the radius and area of the base of the cone?
- What is the height of this cone?
- What is the total surface area of the cone?
Find the volume of the following cones. Leave your answers in terms ofπ.
12.
13.
14.- If the volume of a cone is 30πcm^2 and the radius is 5 cm, what is the height?
- If the volume of a cone is 105πcm^2 and the height is 35 cm, what is the radius?
- A teepee is to be built such that there is a minimal cylindrical shaped central living space contained within the
cone shape of diameter 6 ft and height 6 ft. If the radius of the entire teepee is 5 ft, find the total height of the
teepee.