Volume of Prisms and Cylinders
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description
Volume of Prisms and Cylinders. VOLUME has cubic units Cm 3 , ft 3 , units 3. VOLUME = the number of cubic units contained in its interior. Volume = length•width•height. In a CUBE they are all the same. The volume of a cube is side 3. Volume = s 3. 4 ft. Volume = 4 3. - PowerPoint PPT Presentation
Transcript of Volume of Prisms and Cylinders
VOLUME = the number of cubic units contained in its
interior
VOLUME has cubic
unitsCm3, ft3, units3
The volume of a cube is side3
4 ft
Volume = length•width•height
Volume = s3
Volume = 43
Volume = 64 ft3
In a CUBE they are all the same
When a prism is NOT a cube…
B (area of the BASE) The formula for B will
depend on the shape of the base.
Volume Formula for Prisms & Cylinders
V = Bh
B = area of the BASE h = HEIGHT
Volume of a Prism
V = 12 in3
4 in 3 in
2 in
BhV
hBaseV theof area2 ofheight of base5. V
2435. V
Volume of a Cylinder
7 cm
5 cm
V = 769.7 cm3
hrV 2572 V
Round to the nearest tenth.V Bh
How many cones will it take to fill the
cylinder?• They have the same size base.
• They also have the same height.
Volume Formula for Cones & Pyramids
13
V Bh
8 ft
12 ft
10 ft
Find the volume. 1V Bh3
V (12 10 8)3
V 3 320 ft
2 cm
3 cm
What is the volume of this cone?Round to the nearest tenth.
3.6 cm
V r3
2
( ) h
V 23
2
( ) 3
V 3 12.6 cm
1V Bh3
2 Types of AnswersRounded• Type the Pi
button on your calculator
• Toggle your answer
• Do NOT write Pi in your answer
Exact• Pi will be
in your answer
r
Radius of a Sphere
If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES.
You can think of the globe. The equator cuts the earth into the northern and southern hemisphere.
Look at the cross section formed when you cut a sphere in half.
What shape is it?
A circle!!! This is called the GREAT CIRCLE of the sphere.
Surface Area of a Sphere
24SA r
8 in
Surface Area of a Sphere(round to the nearest hundredths) SA4 r2
SA4 82
SA804.25 in2
10 cm
Surface Area of a Sphere(round to the nearest hundredths) SA4 r 2
SA4 52
SA314 16. cm2
25 in
The circumference of a great circle of a sphere is 25 inches. Find the surface area of the sphere. (Round to the nearest tenths.)
25 12.52
r
212.54
SA
25 2 r
2198.9SA in
A sphere is inscribed in a cube of volume 27 cubic meters. What is the surface area of the sphere? Give an exact answer and an answer rounded to the nearest hundredth.
SA4 r 2
24 1.5 SA
29 mSA 228.27m
Volume of a Sphere
343V r
2 cm
Volume of a Sphere
(round to the nearest hundredths)
343
V r
333.51V cm
34 23
V
10 cm
343
V r
Volume of a Sphere
(round to the nearest hundredths)
3523.60V cm
34 53
V
Volume of a SphereA sphere is inside a cube. The cube has a volume of 27 cm3. Find volume of the sphere. Round to the nearest hundredths.
34 1.53
v
314.14 mV c
