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Ludmilka [50]
3 years ago
10

a cylinder shaped glass with a base area of 7.07 square inches and a height of 6 inches weighs 1.06 ounces when empty. the glass

is then filled with water to 1 inch from the top. if 1 cubic inch of water weighs 0.6 ounce, how many ounces the glass of water weigh including the glass
Mathematics
1 answer:
inn [45]3 years ago
7 0
We know, volume of Cylinder = πr²h
Now, base area = πr² = 3.14 * r² = 7.07
r = √2.25
r = 1.50

Now, volume of water = 3.14 * (1.50)² * 5
v = 3.14 * 2.25 * 5
v = 35.325 in³

Weight of 1 in³ = 0.6 Ounce
so, 35.325 in³ = 0.6 * 35.325 = 21.195 Ounce
Total Weight = Glass weight + water weight
w = 1.06 + 21.195
w = 22.255 Ounce

In short, Your Answer would be 22.255 Ounces

Hope this helps!
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A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the dog covers 1/2 of a metre.
almond37 [142]

Answer:

The goat would cover <u>9 meters</u> in taking 24 steps.

Step-by-step explanation:

<u><em>There is a mistake in the question so the correct question is below:</em></u>

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers =  \frac{1}{2} \ meter.

So, 3 step of horse covers = \frac{1}{2} \times 3 =\frac{3}{2} =1.5\ meters.

<u><em>Thus, 3 steps of horse covers = 1.5 meter</em></u><em>s.</em>

<em>As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.</em>

<u><em>So, the distance covers by goat in 4 steps = 1.5 meters.</em></u>

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = \frac{1.5}{4}

Thus, the distance cover by the goat in 24 steps = \frac{1.5}{4}\times 24

= \frac{36}{3}

= 9\ meters.

Therefore, the goat would cover 9 meters in taking 24 steps.

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3 years ago
Construct equation
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Step-by-step explanation:

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Since DF^2=DE^2+EF^2 we have a right triangle with hypotenuse DF.

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