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3 years ago

6

Imagine a sphere. if the sphere is cut three times at right angles, the resulting pieces would be what fraction of the original

sphere?

1 answer:

andreev551 [17]3 years ago

7 0

1/3 of the original piece

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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

<em>Therefore,</em>

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

<em>Thus:</em>

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

6 0

3 years ago

The library is to be given 5 books as a gift. The books will be selected from a list of 23 titles. If each book selected must ha

Illusion [34]

Answer:

Concept: Statistics

They will receive 5 books
There are 23 titles
There must be a different title each time.
Hence there are 23 total selections

6 0

3 years ago

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real estate taxes in the city increased by 7.25% what decimal number would you use to figure the new real state tax

Thepotemich [5.8K]

Sorry, I have to delete my answer,
increased to or increased by?
if it is increased by, what is the original percent?

4 0

3 years ago

PLEASE HELP GUYS!! WILL GIVE BRAINLIEST IF CORRECT!!!!

True [87]

3.114

Step-by-step explanation:

Given slope of the line is 1.581,

Mean of the x-coordinate is 5.923,

Mean of the y-coordinate is 12.478

Equation of the line formula is

y = mx + c

12.478 = 1.581 × 5.923 + c

⇒ 12.478 = 9.364263 + c

⇒ c = 12.478 – 9.364263

⇒ c = 3.113737

⇒ c = 3.114 (Round off to three decimal places)

Hence, y-intercepts of the line to three decimal places is 3.114.

8 0

4 years ago

PLZ HELP <br>5³×25<br>how do you solve

Dennis_Churaev [7]

Answer: 3125
5x5x5=125
125x25=3125

7 0

3 years ago

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