1.3 QUIZ Answers

1.3 QUIZ Answers

1.6 SA and Volume of a Sphere

What is a sphere?

• A set of points in space

• These points are the same distance from

the centre• The distance from the

centre to an point on the sphere is called

RADIUS• The distance from one

point to another (through the centre) is

called DIAMETER

Surface Area of a Sphere

• SA of sphere is related to the curved surface of a cylinder

REMEMBER??

= h

Surface Area of a Cylinder

Base 12 circular bases

Base 2

Curved surface is a rectangle

Curved Surface

SA of the curved surface of cylinder is

2πr ·𝐡2πr · 2r

= h

Surface Area of a Cylinder

SA of the curved surface of cylinder is

2πr ·𝐡2πr · 2r

= h

Surface Area of a Sphere

The diameter of a baseball is approximately 3 in. Determine the surface area of a baseball to the nearest square inch.• Use the formula for the surface

area of a sphere• The radius is = 1.5 in.

The surface area of a baseball is approximately 28 square inches.

POWERPOINT PRACTICE PROBLEMThe surface area of a soccer ball is

approximately 250 square inches. What is the diameter of a soccer ball to the nearest

tenth of an inch?

Volume of a Sphere

The sun approximates a sphere with diameter 870 000 mi. What is the approximate volume of the sun?• Use the formula for the VOLUME of a

sphere• The radius is = 435 000 miles

The volume of the sun is approximately

3.4 × 1017 cubic miles (mi3).

HemisphereWhen a sphere is cut in half….

What is the SURFACE AREA of a Hemisphere?

What is the VOLUME of a Hemisphere?

A hemisphere has radius 8.0 cm.a) What is the surface area of the hemisphere to

the nearest tenth of a square centimetre?b) What is the volume of the hemisphere to the

nearest tenth of a cubic centimetre?

The surface area of the hemisphere is approximately 603.2 cm2.

The volume of the hemisphere is

approximately 1072.3 cm3.

POWERPOINT PRACTICE PROBLEMA hemisphere has radius 5.0 cm.a) What is the surface area of the hemisphere to the nearest tenth of a

square centimetre?b) What is the volume of the hemisphere to

the nearest tenth of a cubic centimetre?

HOMEWORKOPAGES: 51 - 52

OPROBLEMS:7, 8, 10, 13, 16, 18