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ella [17]
4 years ago
15

"A cylindrical canister contains 3 tennis balls. Its height is 8.75inches, and its radius is 1.5. The diameter of one tennis bal

l is 2.5. How much of the canister’s volume is unoccupied by tennis balls? Use 3.14 for π, and round your answer to the nearest hundredths place."
24.54in^3
37.28in^3
61.85in^3
7.56in^3
Mathematics
2 answers:
puteri [66]4 years ago
8 0
----------------------------------------------
Find Volume of 1 tennis ball:
----------------------------------------------
Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³

Volume of 1 tennis ball = 8.18 in³

----------------------------------------------
Find Volume of 3 tennis balls:
----------------------------------------------
Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³

----------------------------------------------
Find Volume of teh cylindrical canister:
----------------------------------------------
Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)

Volume of the cylindrical canister = 52.99 in³

----------------------------------------------
Find unoccupied space:
----------------------------------------------
Unoccupied space = 52.99 - 24.54

Unoccupied space = 28.45 in³

----------------------------------------------
Answer: 28.45 in³
----------------------------------------------


Aloiza [94]4 years ago
5 0
Volume of 1 ball
= 4/3 x pi x radius^3
= 4/3 x 3.14 x 1.5^3
= 14.13 inches cubed

volume of all 3 balls
= 14.13 x 3
= 42.39 inches cubed

volume of cylinder
= pi x radius^2 x height
= 3.14 x 1.5^2 x 8.75
= 61.81875 inches cubed

volume of unoccupied space
= volume of cylinder - volume of all 3 balls
= 61.81875 - 42.39
= 19.42875 inches cubed

volume of unoccupied space/volume of cylinder (as a percentage)
= 19.42875/61.81875 x 100
= 31.42857143...
= 31.43% (to nearest hundredths place)

so 31.43% of the canister's volume is unoccupied by tennis balls

hope this helps! :)
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bija089 [108]

Hey There!

Lets Just Work through your answers,

ⓧ A - An isosceles triangle is a triangle with (at least) two equal sides, so this would not apply to the given triangle.

:) B - A scalene triangle is a triangle in which all three sides have different lengths so this applies to the given triangle. One side measures 10, one measures 11, and one measures 12.1

ⓧ C - A right triangle is a type of triangle that has one angle that measures 90 degrees, which this triangle does not so this does not apply.

ⓧ D - In geometry, an equilateral triangle is a triangle in which all three sides are equal, so this does not apply to the given triangle.

ⓧ E - An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles, so this does not apply to the given triangle.

:) F - An acute triangle (or acute-angled triangle) is a triangle with three acute angles less than 90 degrees. So this applies to the given triangle.

In Summary, B & F classify the given triangle correctly.

If you could rate five starts & give brainliest that would be greatly appreciated!

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4 0
3 years ago
What is 12.99 remainder fraction? <br><br> Then could you please put it as a fraction?
Katarina [22]
It would bw 12 99/100 and then 1299/100
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