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3 years ago

Estimate the number of tennis balls that would fill a 10 by 12 by 24 foot room? Diameter of tennis ball is 2.5 inches

Mathematics

1 answer:

Pani-rosa [81]3 years ago

6 0

Answer:

9,515balls

Step-by-step explanation:

Total surface area of the room = 2LW+2LH+2WH

L is the length

W is the width

H is the height

Given

L = 10, W = 12 and H = 24

Surface area = 2(10)(12)+2(10)(24)+2(12)(24)

Surface area = 240+480+576

Surface area of the room = 1296ft²

If each ball in the room is 2.5in

Converting to inches to foot

1ft = 12in

xft = 2.5in

Cross multiply

x = 2.5/12

x = 0.2083ft

Diameter of the tennis ball is 0.2083ft

Total surface area of the ball = 4πr² or πd²

Total surface area of the ball = 3.14(0.2083)² = 0.1362ft²

Number of ball in the room = Total surface area of the room/Total surface area of the ball

Number of ball in the room = 1296/0.1362

Number of ball in the room = 9515.4

Number of ball in the room ≈ 9,515 balls

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