Presentation on theme: "1.3 QUIZ Answers."— Presentation transcript:

1.6 SA and Volume of a Sphere

These points are the same distance from the centre
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

SA of sphere is related to the curved surface of a cylinder
Surface Area of a Sphere = h SA of sphere is related to the curved surface of a cylinder REMEMBER??

Surface Area of a Cylinder
Curved surface is a rectangle Base 1 2 circular bases Curved Surface Base 2

Surface Area of a Cylinder SA of the curved surface of cylinder is
2πr · 2r

SA of the curved surface of cylinder is
Surface Area of a Sphere = h SA of the curved surface of cylinder is 2πr ·𝐡 2πr · 2r

The surface area of a baseball is approximately 28 square inches.
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 PROBLEM
The 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 volume of the sun is approximately
The sun approximates a sphere with diameter mi. What is the approximate volume of the sun? Use the formula for the VOLUME of a sphere The radius is = miles The volume of the sun is approximately 3.4 × 1017 cubic miles (mi3).

Hemisphere When 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.
What is the surface area of the hemisphere to the nearest tenth of a square centimetre? What is the volume of the hemisphere to the nearest tenth of a cubic centimetre? The surface area of the hemisphere is approximately cm2. The volume of the hemisphere is approximately cm3.

POWERPOINT PRACTICE PROBLEM A hemisphere has radius 5.0 cm.
What is the surface area of the hemisphere to the nearest tenth of a square centimetre? What is the volume of the hemisphere to the nearest tenth of a cubic centimetre?

HOMEWORK PAGES: PROBLEMS:7, 8, 10, 13, 16, 18