lesson 11.4 spheres and surface area.notebook
May 04, 2016
Warm Up #3
1. find the circumference of circle N if the area is 625π cm2
50π cm
2. find the volume of the cone.
100π m3
3. find the volume of the pyramid.
160 in3
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Homework Quiz: Correct 4 problems based on accuracy
score ______ + 1 #correct
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
A= 25π
A=225π
C= 40π
C= 100π
r = ____
r = ____
r = ____
r = ____
C = ____
C = ____
A= ____
A = ____
A=r2π
C=2rπ
lesson 11.4 spheres and surface area.notebook
May 04, 2016
GOALS
1) Learn and apply the formula for the volume of a sphere.
2) Learn and apply the formula for the surface area of a sphere.
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Definitions
sphere
center of a sphere
great circle
hemisphere
radius of a sphere
lesson 11.4 spheres and surface area.notebook
A sphere is the locus of points in space that are a fixed distance from a given point called the center of a sphere. A radius of a sphere connects the center of the sphere to any point on the sphere. A hemisphere is half of a sphere. A great circle divides a sphere into two hemispheres
May 04, 2016
lesson 11.4 spheres and surface area.notebook
The volume of a sphere and hemisphere
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Find the volume of the sphere. Give your answer in terms of π.
V = 2304π in3
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Finding Volumes of Spheres
Find the radius of a sphere with volume 36,000π cm3.
r = 30 cm
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Finding Volumes of Spheres
Find the radius of a sphere with volume 121,500π cm3.
your turn
r = 45 cm
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Find the volume of the hemisphere
V = 2250π m3
lesson 11.4 spheres and surface area.notebook
May 04, 2016
A sporting goods store sells exercise balls in two sizes, standard (12­in. diameter) and jumbo (24­in. diameter).
How many times as great is the volume of a jumbo ball as the volume of a standard ball?
standard ball:
jumbo ball:
lesson 11.4 spheres and surface area.notebook
Surface Area
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Finding Surface Area of Spheres
Find the surface area of a sphere with diameter 50 cm. Give your answers in terms of π.
S.A. = 2500π cm2
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Find the volume of a sphere with surface area 324π in2. Give your answers in terms of π.
V = 972π in3
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Find the surface area of a sphere with a great circle that has an area of 49π mi2
S.A. = 4π(7)2 = 196π mi2
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Exploring Effects of Changing Dimensions
The radius of the sphere is multiplied by . Describe the effect on the volume.
What will be the effect on Surface Area?
lesson 11.4 spheres and surface area.notebook
Find the surface area and volume of the composite figure. Give your answer in terms of π.
V =
144π + 324π = 468π in3
S.A.= 72π + 108π + 36π = 216π in2.
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Finding Surface Areas and Volumes of Composite Figures
Your Turn
Find the surface area and volume of the composite figure.
V = 45π – 18π = 27π ft3
S.A. = 18π + 30π + 9π = 57π ft2
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Find each measurement. Give your answers in terms of π.
1. the volume and surface area of the sphere.
V = 36π cm3; S = 36π cm2
2. the volume and surface area of a sphere with great circle area 36π in2.
V = 288π in3;
S = 144π in2
3. the volume and surface area of the hemisphere.
V = 23,958π ft3;
S = 3267π ft2
4. A sphere has radius 4. If the radius is multiplied by 5, describe what happens to the surface area. The surface area is multiplied by 25.
5. Find the volume and surface area of the composite figure. Give your answer in terms of π.
V = 522π ft3; S = 267π ft2
lesson 11.4 spheres and surface area.notebook
May 04, 2016
lesson 11.4 spheres and surface area.notebook
May 04, 2016
Homework: 11.4 pg 771 #2­15, 17­26
ch. 11 Test next Tues/Wed.: 20 questions MC