EOCT Practice

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

x

6

4

x 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

4

4

3

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 cm3

V

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

3V 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

3V r

Sphere Worksheet

Surface Area and Volume of a Sphere Practice Questions for Classwork