D
Describe the extrema of the quadratic y = -2(x – 3)2 + 2
a.Maximum at (-3, 2)
b.Minimum at (-3, 2)
c.Minimum at (3, 2)
d.Maximum at (3, 2)
For each circle, find the value of x. No decimals. Write answers in simplified fraction or radical form.
1. 2.
3. 4.8
12
x
4 5
x3
12
x6
4x 8
13
Math IIUNIT QUESTION: What special properties are found with the parts of a circle?Standard: MM2G1, MM2G2
Today’s Question:What effect does changing the radius have on S.A. and Volume of a sphere?Standard: MM2G4.a,b
r
HEMISPHERE: HALF A SPHERE
Think of the globe! The equator cuts the earth into the northern
and southern hemisphere.
Formulas for a Sphere2
3
443
SA r
V r
10 cm
Find the exact and approximate Surface Area & Volume of a Sphere (round to the nearest hundredths)
216.314100 cmSA 3500 523.60 cm
3V
25 in
The circumference of a great circle of a sphere is 25 inches. Find the approximate surface area & volume of the sphere. (Round to the nearest tenths.)
3.979r 2198.96SA in
3263.88 inV
5 in
SA and Volume of a SphereA spherical balloon has a surface area of 16 in.2 Find the volume of the sphere.
26.02 inV
10 in
34 3
V rSA4 r2
5 in
Surface Area & Volume of a SphereA spherical balloon has an initial radius of 5 in. When more air is added, the radius becomes 10 in. Explain how S.A. and Volume change as the radius changes.
10 in
is 8 times biggerV is 4 times biggerSA
Old Sphere New Sphere
Radius
Surface Area
Volume
Old Sphere New Sphere
Radius
Surface Area
Volume
Old Sphere New Sphere
Radius
Surface Area
Volume
5 in
Volume of a SphereA sphere has an initial volume of 400 cm.3 The sphere is made bigger by making the radius 4 times as big. What is the new volume of the sphere?
325,600 inV
10 in
34 3
V r
Sphere WorksheetSurface Area and Volume of a Sphere Practice Questions for Classwork