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VOLUME
NOTEBOOK PAGE 9
Grading the Volume Lab:
SCORE /90RB#____NAME _____________ PERIOD _____
STEPS POINTS
SKETCH THE OBJECT/LABEL THE OBJECT WITH THE MEASUREMENTS
3
WRITE THE FORMULA 3
PLUG IN THE FORMULA WITH THE CORRECT MEASUREMENTS
3
CIRCLE YOUR FINAL ANSWER WITH cm3 or mLs 1
A. MEASURE THE DIMENSIONS OF THE OBJECT…
1. USE A RULER;2. A CALIPHER;3. A GRADUATED CYLINDER.
Calipher
Ruler
Graduated cylinder
Measuring Tape
NOTEBOOK PAGE 9Volume of a rectangular prism
Volume of a Sphere
Volume of a Cylinder
Circumference of a Sphere
Volume of a rectangular prism
Volume of a Sphere
Volume of a Cylinder
Circumference of a Sphere
NOTEBOOK PAGE 9Volume of a rectangular prism
Volume of a Sphere
Volume of a Cylinder
Circumference of a Sphere
V=LW H V= 4/3 r3
V= r2h C= 2r
Volume of an irregularly-shaped object using a graduated cylinder:
V = V2 – V1.The Greek
Letter Delta, Means to subtract
1. Volume of a rectangular prism
Rectangular PrismV= LENGTH WIDTH HEIGHT
2. Volume of a sphere =
2. Volume of a sphere =
4/3 r3
SOMETIMES THE ONLY WAY TO FIND THE RADIUS OF A SPHERE IS TO MEASURE
THE CIRCUMFERENCE WITH A STRING…….
Wrap a string around the fastest part of the sphere……..
CIRCUMFERENCE of a SPHEREwill lead you to the radius of
the sphere…
NEXT USE THE CIRCUMFERENCE FORMULA AND SOLVE FOR THE RADIUS
CIRCUMFERENCE is the distance around the outside of a ball
C = 2 r
r = C 2
3. Volume of a cylinder =
r2 h
CylinderV = r2 h
Volume of an irregularly-shaped object using a graduated cylinder:
VOLUME of DISPLACEMENT of WATER
HIPPO the HOUSEPAINTER
Volume of an irregularly-shaped object using a graduated cylinder:
V = V2 – V1.The Greek
Letter, Means to subtract
Volume of an irregularly-shaped object using a graduated cylinder:
V = V2 – V1.9 mLs – 7 mLs = 2mLs
Help! I can’t swim!
VOLUME VIA the DISPLACEMENT of WATER
Problem #1
The largest ruby in the world is 10.9cm long, 4.10 cm wide, and 5.80 cm high. Find its volume.
sketch
Problem #1
The largest ruby in the world is 10.9cm long, 4.10 cm wide, and 5.80 cm high. Find its volume.
sketch
Problem #1
The largest ruby in the world is 10.9cm long, 4.10 cm wide, and 5.80 cm high. Find its volume.
V = lwh.
Problem #1
The largest ruby in the world is 10.9cm long, 4.10 cm wide, and 5.80 cm high. Find its volume.
V = lwh. =(10.9cm)(4.10cm)(5.80cm)
259 cm3
Problem #2
A metallic sphere has a radius of 1.24 cm. Find its volume.
sketch
Problem #2
A metallic sphere has a radius of 1.24 cm. Find its volume.
sketch
Problem #2
A metallic sphere has a radius of 1.24 cm. Find its volume.
r=1.24cm
V sphere = 4/3 r3
(4/3)(3.14)(1.24cm) (1.24cm) (1.24cm)
=
7.98 cm3
Problem #2
A metallic sphere has a radius of 1.24 cm. Find its volume.
Problem #3 A certain metal is submerged in a graduated cylinder that initially had 20.8 mLs of water and after it was submerged the final volume was 29.9mLs of water.
SKETCH
Problem #3 A certain metal is submerged in a graduated cylinder that initially had 20.8 mLs of water and after it was submerged the final volume was 29.9mLs of water.
SKETCH
Problem #3 A certain metal is submerged in a graduated cylinder that initially had 20.8 mLs of water and after it was submerged the final volume was 29.9mLs of water.
FINAL VOLUME
STARTING VOLUME
Problem #3 A certain metal is submerged in a graduated cylinder that initially had 20.8 mLs of water and after it was submerged the final volume was 29.9mLs of water.
FINAL VOLUME
STARTING VOLUME V = V2 – V1
= 29.9 -20.8= 9.1mLs
Problem #3 A certain metal is submerged in a graduated cylinder that initially had 20.8 mLs of water and after it was submerged the final volume was 29.9mLs of water.sketch
Problem #3 A certain metal is submerged in a graduated cylinder that initially had 20.8 mLs of water and after it was submerged the final volume was 29.9mLs of water.sketch
Problem #4 A cube of gold has 2.04 meter sides. Find the volume.
Problem #4 A cube of gold has 2.04 meter sides. Find the volume.
Problem #4
A cube of gold has 2.04 meter sides. Find the volume.
By definition a cube has sides of equal length.
So………….
V=lwhV=(2.04m) (2.04m) (2.04m)= 8.489 rounds to
8.49m3
Problem #4
A cube of gold has 2.04 meter sides. Find the volume.
Problem #5
A RUBBER sphere has a CIRCUMFERENCE of 4.62cm. Find its volume.
Problem #5
A RUBBER sphere has a CIRCUMFERENCE of 4.62cm. Find its volume.
Problem #5
A RUBBER sphere has a CIRCUMFERENCE of 4.62cm. Find its volume.
The circumference is the distance around a sphere.
The radius is the distance from the center of the sphere to the outer edge of the sphere.
Problem #5
A RUBBER sphere has a CIRCUMFERENCE of 4.62cm. Find its volume.
CIRCUMFERENCE = 2(C = 2(Solve for r r = C = 2()
Problem #5
A RUBBER sphere has a CIRCUMFERENCE of 4.62cm. Find its volume.
CIRCUMFERENCE = 2(C = 2(Solve for r r = C = 4.62cm 2() (2)(3.14)
Problem #5
A RUBBER sphere has a CIRCUMFERENCE of 4.62cm. Find its volume.
CIRCUMFERENCE = 2(C = 2(Solve for r r = C = 4.62cm = 0.736cm 2() (2)(3.14)
Problem #5
A RUBBER sphere has a CIRCUMFERENCE of 4.62cm. Find its volume.
Now find the volume V= 4/3 r3
V=(____)(____)(_____)(_____)(______)
Problem #5
A RUBBER sphere has a CIRCUMFERENCE of 4.62cm. Find its volume.
Now find the volume V= 4/3 r3
V=(4/3)(3.14)(0.736cm)(0.736cm)(0.736cm)
V= 1.669 -or- 1.67cm3
Problem #6. Find the volume of a cylinder
that has a radius of 2.53 cm and a height of 5.62
cm.
r2 h
Problem #6. Find the volume of a cylinder
with the following dimensions:
h = 5.62 cm
r= 2.53 cm
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