Page xx of your INB Write down this problem on your READY RECALL SHEET Be prepared to explain your answer if you are called on. find the volume of a hemisphere with a radius of 14 meters. Same radius & height as cone

ITEMS of BUSINESS Test coming up on Feb. 23/24

Have your homework out on your desk.

Try this CHALLENGE question: Cone is 1/3 the volume of the cylinder. The area left would be 2/3 of the cylinder’s volume.

LINE AND ANGLE RELATIONSHIPS 10.5 Volume of a Sphere

Page xx of your INB Get into your Groups We will be using the foldable we made last time. find the volume of a hemisphere with a radius of 14 meters.

SPHERES W hy don’t we ever see planets shaped like cylinders or cones? Everywhere we look in space, planets—and even stars like our sun—are shaped like spheres. Why is that? Of course, not every object we observe in space is a sphere. Asteroids, comets, and even very small moons often have weird, rough shapes. These objects are too small—and their gravities too weak. For them, the sphere-making process never begins. The answer is gravity. For a large body in space, gravity pulls every point on the surface equally toward its center. Over time, gravity molds the body into the only possible shape that could form from such a process—a sphere!

SPHERES Circumference radius diameter Distance around the widest part of a sphere. C = 2πr

LETS TRY SOME PROBLEMS List the radius, diameter, and circumference for each problem. Use the π key on the calculator and round to the tenths place. Radius: Diameter: Circumference: Radius: Diameter: Circumference: Radius: Diameter: Circumference: C = 2πr

h = 6m FINDING THE VOLUME OF A SPHERE ACTIVITY Let’s place a sphere in a cylinder with the same radius and height. How much of the cylinder do you think the sphere uses? r=4m Volume of a Sphere Demonstration Video

DERIVING THE VOLUME OF THE SPHERE height radius

INB NOTEBOOK ACTIVITY Write the parts of the figure. Write the formula and find the volume of the example shown. r

LETS TRY SOME PROBLEMS Calculate the volume for each sphere. Use the π key on the calculator. Round decimals to the nearest tenth. Write out each formula.

HEMISPHERE Talk in your groups… Remind each other what a hemisphere is. Discuss how the volume of a sphere is different than the volume of a hemisphere?

CHAPTER 10 VOCAB ORGANIZER

Let’s Review what we found. r

Day 1 – Integer operations, PEMDAS, evaluating 10.5 Volume of a Sphere find the volume of a hemisphere with a radius of 14 meters. Number 14 on your Homework

LETS TRY SOME PROBLEMS

SHOW YOUR WORK Worksheet 10.5 Volume of a Sphere