unit 10 cones & cylinders objective: to find the volume & surface area of cones and...
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Unit 10Unit 10
Cones & CylindersCones & CylindersUnit 10Unit 10
Cones & CylindersCones & Cylinders
Objective: To find the Objective: To find the Volume & Surface Area of Volume & Surface Area of
cones and cylinders.cones and cylinders.
Cylinders
Radius hrV 2Volum
eHeightradius
height
Volume of a Cylinder
Find the volume of a cylinder with height 10 cm and radius 5cm.
10 cm
5 cm
hrV 2
)10()5( 2V3cm 250V
3cm 785V
EXAMPLE #1
• Find the volume of the cylinder.
9 fthrV 2
)9()6( 2V3ft 324V
3ft 36.1017V
#2 you try!!!!
6 ft
Surface Area of a Cylinder
SA = 2r2 + 2rh
h
r
#3 Surface Area of a cylinder
Find the surface area of the cylinder with height of 9 m and radius of 3 m. Use 3.14. Round your answer to the nearest tenth.
rhrSA 22 2
)9)(3(2)3(2 2 SA
272
5418
mSA
SA
21.226 mSA
#4 YOU TRY!!!
Find the surface area of the cylinder with height of 5 m and radius of 8 m. Use 3.14. Round your answer to the nearest tenth.
rhrSA 22 2
)5)(8(2)8(2 2 SA
2208
80128
mSA
SA
21.653 mSA
Cones
Volume of a Cone
3
2hrV
Volume
Height
radius
r
h
THE VOLUME OF A CONE IS 1/3 THE VOLUME OF A CYLINDER.
3
2hrV
hrV 2
#5 Finding the Volume of a Cone
The radius of the base of a cone is 6 m. Its height is 13 m. Find the volume.
m 6
3
468V
3
)13(6 2V
3m 156V
m 133
2hrV
3m 84.489V
#6 YOU TRY!!!
The radius of the base of a cone is 4 m. Its height is 10 m. Find the volume.
m 43
160V
3
)10(4 2V
3m 3
160V
m 103
2hrV
3m 47.167V
Surface Area of a Cone
SA r l r 2
h
r
l
Slant height
radius radius
#7 Surface area of a cone
Find the surface area in terms of of a cone with a slant height of 19 cm and a radius of 5 cm. 2rrlSA
2)5()19)(5( SA
)25()95( SA2120 cmSA 28.376 cmSA
#8 YOU TRY!!!!
Find the surface area in terms of of a cone with a slant height of 15 cm and a radius of 4 cm. 2rrlSA
2)4()15)(4( SA
)16()60( SA276 cmSA
15 CM
4 CM26.238 cmSA
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