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umka2103 [35]
3 years ago
15

A right cylindrical container perfectly holds 5 tennis balls placed one above the other. The radius of each ball is 3.35 centime

ters. What is the approximate volume of the unoccupied space in the container?
Mathematics
1 answer:
mash [69]3 years ago
5 0

Answer: 394 cm3


Step-by-step explanation:

volume of cylinder - volume of 5 balls=extra volume

voc=πr2h=1181.09

pi=22/7

r=3.35

h= 5 x diameter of ball=33.5 (diameter = 2r)


vo5b=5(4/3πr3)=787.4

r=3.35

ev=voc-vo5b

=393.69


ROUND TO 394

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Divide \dfrac{2}{3} by \dfrac{2}{9}:

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You have prizes to reveal! Go to your game board. xThe surface area of this cube is 96 square meters. What is the value of y?9 m
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7 0
2 years ago
Write a quadratic function to model the vertical motion for each​ situation, given ​h(t) equals negative 16t squared plus v0t+h0
Mashcka [7]

Answer:

hmax = 194 ft

The maximum height is 194 ft

Step-by-step explanation:

According to the given equation for the model of the vertical motion. The height at any point in time can be written as;

h(t) = -16t^2 + v0t + h0 .......1

Where;

h(t) = height at time t

t = time

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h0 = initial height = 50 ft

To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;

At the highest point/height h' = dh/dt = 0

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-32t + v0 = 0

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t = 3 s

At t=3 it is at maximum height.

The maximum height can be derived from equation 1;

Substituting the values of t,v0,h0 into equation 1;

h(t) = -16t^2 + v0t + h0 .......1

hmax = -16(3)^2 + 96(3) + 50 = 194 ft

hmax = 194 ft

The maximum height is 194 ft

5 0
3 years ago
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