If a sphere is packed inside a cube what percent of the space is empty

7 of 9

aleksklad [387]

Using proportions, it is found that the total volume of the glass is of 216 cm³.

<h3>What is the missing information?</h3>

The problem is incomplete, but researching it on a search engine, it is found that:

Initially, the glass is 1/3 full.

After adding 63 cm³ of orange of juice, the glass is 5/8 full.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering the volume of the glass as x, and the information given in the problem, the following equation can be built:

$\frac{x}{3} + 63 = \frac{5x}{8}$

We solve for x to find the volume of the glass as follows:

$\frac{5x}{8} - \frac{x}{3} = 63$

$\frac{15x - 8x}{24} = 63$

Then, applying cross multiplication:

7x = 24 x 63

Simplifying by 7:

x = 24 x 9

x = 216 cm³.

The total volume of the glass is of 216 cm³.

More can be learned about proportions at brainly.com/question/24372153

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8 0

1 year ago

Dan is cutting 4.75 foot length of twine from a 240 foot spoil of twine. He needs to cut 42 lengths and says that 40.5 feet of t

Bad White [126]

1 length is 4.75 feet

42 lengths = x feet Cross multiply

1 * x = 42 * 4.75 Multiply on the right

x = 199.5

amount left = amount started with - amount amount used

Amount left = ???

Amount started with = 240 feet.

Amount used = 199.5 Substitute

Amount left = 240 - 199.5 Subtract

Amount left = 40.5 Answer

4 0

3 years ago

Explain what it means to simplify a trigonometric function?????

WARRIOR [948]

Answer:

a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.

Step-by-step explanation:

6 0

2 years ago

What is the function rule for the graph below?

11Alexandr11 [23.1K]

Y= -x^2+4

B is the answer

6 0

3 years ago

I need help on this.. And I will give you a BRANILIST if you the first one with the right answer

AlekseyPX

Answer:

0.1

Step-by-step explanation:

(9,4) (5,1) $\frac{y_{2} y_{1} }{x_{2} x_{1} }$ , plug in the numbers, $\frac{(1)(4)}{(5)(9)}$ = $\frac{4}{40} or \frac{1}{10}$ , to write it as a decimal, you divide the numerator by the denominator, 0.1

5 0

2 years ago