10.3­Cylinders, Cones and Spheres.notebook
10.3­­Surface Area and Volume of Cylinders, Cones and Spheres
April 28, 2014
Cylinders
I can calculate the surface area and volume of cylinders, cones and spheres.
I can show a right cylinder and an oblique cylinder have the same volume.
Surface Area: Volume: Mar 13­6:44 PM
Find the surface area and volume of each cylinder.
A)
Mar 13­6:44 PM
Right cylinder
Oblique cylinder
SA=
radius
radius
slant height (l or s)
V=
B) Find the surface area and volume of a cylinder whose height is 16m and diameter is 12m. You have two cylinders shown above. The right cylinder has a radius of 9 cm and a height (altitude) of 12 cm. The oblique cylinder has the same radius, but has a slant height of 15 cm. Compare the volumes of the two cylinders.
Mar 13­6:44 PM
Mar 13­6:44 PM
Find the surface area and volume for the cone. Cones
A) SA:
10 cm
8cm
or l
6 cm
Note: Some texts will call the slant height l instead of s.
V:
Surface Area: B)
SA:
17 in
Volume: 16 in
V:
Mar 13­6:44 PM
Mar 13­6:44 PM
1
10.3­Cylinders, Cones and Spheres.notebook
April 28, 2014
Find the surface area and the volume of the sphere.
Spheres
A) SA:
3 mm
V:
Surface Area:
B) SA:
8 in
Volume: V: Mar 13­6:44 PM
Mar 13­6:44 PM
2