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## Zero Gravity Geometry created by Brent Melton

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**Zero Gravity Geometrycreated by Brent Melton**Teachers Students**Audience**• Grades 9-10 • Geometry Students • Students are learning about the area and volume of circles and spheres. • Wealthy community**Environment**• Student should complete individually • Computer lab or a classroom with a computer • Student should not be bothered until the student has completed the program • Student will need a scientific calculator**Objectives**• Given a diagram of a circle, students should be able to compute the circumference, radius, diameter, and area correctly. • Given a diagram of a sphere, students should be able to compute the volume and surface area correctly.**= go on / next page**= go back / previous page = help video Help! = menu page = helper / hints**Surface Area**Diameter Volume Radius Circumference Area Click on a planet to learn about the topic! Take the quiz after visiting all topics. Quiz**Surface Area is the amount it would take to cover the outer**region, or shell, of a sphere.**The formula for the Surface Area of a sphere is 4pr2.**r = radius This is similar to the formula for Area just with a 4 in front.**Hint: The formula for SA is 4pr2**Practice your understanding. Correct! Find the Surface Area of the Sun. 1,934,881,000,000pkm2 2,782,000pkm2 695,500pkm2 483,720,250,000pkm2 Try Again! A Try Again! B Try Again! 1,391,000km C D**Area is the amount of space that fills a circle.**For instance, it’s going to take so many square inches of coloring to fill this circle.**Hint: The Area of a circle is pr2.**Practice your understanding. Try Again! Find the Area of Venus. 12,103.6pkm2 110.016pkm2 146,497,132.96pkm2 585,988,531.84pkm2 Try Again! A Correct! 12,103.6km B Try Again! C D**Radius is used for almost every equation with a circular or**spherical shape.**Radius is the length from the outside of a circle or sphere**to the centermost point.**Hint: The Radius is half of the diameter.**Practice your understanding. Try Again! Find the Radius of Earth. 12,756.2km 6,378.1km 12,756.2pkm 6,378pkm Correct! A Try Again! B Try Again! 12,756.2km C D**Diameter is used alternatively in almost every circular or**spherical formula.**Hint: The Diameter is twice the length of the radius.**Practice your understanding. Try Again! Find the Diameter of Neptune. 24,764pkm 24,764km 49,528pkm 49,528km Try Again! A Try Again! 24,764km B Correct! C D**Circumference is the measurement of the entire outer length**of a circle.**The formula for the circumference of a circle is 2pr or dp.**d = diameter**Hint: The formula for Circumference is dp.**Practice your understanding. Try Again! Find the Circumference of Jupiter. 142,984km 71,492pkm 142,984pkm 71,492km Try Again! A Correct! B Try Again! 142,984km C D**The formula for the Volume of a sphere is 4/3pr3.**r = radius**Hint: The formula for Volume of a sphere is 4/3pr3.**Practice your understanding. Correct! Find the Volume of Saturn. 291,876,463,425,110pkm3 218,907,347,568,832pkm3 2,335,011,707,400,900pkm3 1,751,258,780,550,656pkm3 Try Again! A Try Again! B 120,536km Try Again! C D**Quiz Time!**Now you’ll take a short six question quiz on all of the topics we just covered. Good Luck!**1. Find the radius of Venus.**24,207.2km 12,103.6km 24,207.2pkm 12,103.6pkm A B 24,207.2km C D**Great Job!**You answered correctly.**Bummer…**You answered incorrectly. This is the diameter. Try Again!**Bummer…**You answered incorrectly. Radius doesn’t have pi in it. Try Again!**2. Find the diameter of Jupiter.**142,984pkm 71,492km 71,492pkm 142,984km A 71,492km B C D**Awesome!**You answered correctly.**Wrong…**You answered incorrectly. This is the radius. Try Again!**Wrong…**You answered incorrectly. Diameter doesn’t have pi in it. Try Again!**3. Find the circumference of Earth.**12,756.2km 6,378.1km 6,378.1pkm 12,756.2pkm A 6,378.1km B C D**Good Job!**You answered correctly.**That’s not right…**You answered incorrectly. You must multiply the radius by two. Try Again!**That’s not right…**You answered incorrectly. You must multiply by pi. Try Again!**4. Find the area of Neptune.**49,528pkm2 613,255,696pkm2 24,764pkm2 2,453,022,784pkm2 A 49,528km B C D**Stupendous!**You answered correctly.**Incorrect…**You answered incorrectly. You must square the radius. Try Again!**Incorrect…**You answered incorrectly. You must divide the diameter in half, then square it. Try Again!**5. Find the surface area of Saturn.**241,072pkm2 482,144pkm2 58,115,709,184pkm2 14,528,927,296pkm2 A 120,536km B C D**Fantastic!**You answered correctly.**Incorrect…**You answered incorrectly. You must square the radius, then multiply by 4. Try Again!