How many Tennis Balls will fit in Mr. Pittman’s Room?

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Presentation transcript:

How many Tennis Balls will fit in Mr. Pittman’s Room? By Mr. Pittman

Assumptions How big is Mr. Pittman’s room? How big is a tennis ball? About 30 feet by 30 feet by 10 feet How big is a tennis ball? About 3 inch diameter

Rough Estimate Volume of Mr. Pittman’s Room: Volume of Tennis Ball: 30*12=360 inches 10*12=120 inches 360*360*120=15,552,000 cubic inches Volume of Tennis Ball: 4 3 𝜋 𝑟 3 = 4 3 3.14 1.5 3 =14.13 cubic inches

Rough Prediction Tennis Balls in Mr. Pittman’s Room 15552000 14.13 =1,100,636.94 I will be able to fit 1,100,636 tennis balls in Mr. Pittman’s room. I rounded down because I only care about complete tennis balls in the room.

Research How big is Mr. Pittman’s room: Tennis ball: 25 feet by 30 feet by 9 feet I used a measuring stick to determine the size of the room. (25*12)*(30*12)*(9*12)=11,664,000 cubic inches Tennis ball: Diameter of a tennis ball is between 2.57 and 2.70 inches. http://www.itftennis.com/technical/publications/rules/balls/appendix-i.aspx 4 3 𝜋 𝑟 3 = 4 3 3.14 (1.285) 3 =8.88337 cubic inches 4 3 𝜋 𝑟 3 = 4 3 3.14 (1.35) 3 =10.30077 cubic inches

Researched predictions Tennis Balls in Mr. Pittman’s Room 11664000 8.88337 =1,313,015.22 11664000 10.30077 =1,132,342.53 I will be able to fit 1,132,242-1,313,105 tennis balls in Mr. Pittman’s room, depending on the size of the ball.

Comparing Predictions Rough Prediction: 1,100,636 tennis Researched Prediction: 1,132,242-1,313,105 tennis balls I overestimated the size of the room. I overestimated the size of the tennis ball.