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 = 
Volume of a rectangular prism = 
<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 = 
Volume of basketball = 
- Convert to


<em>Therefore,</em>
- Volume of basketball =

- Find the volume of the office (rectangular prism):
Volume of the office = 
- Number of basket ball that will fill the office = Volume of office / volume of basketball
Number of basket ball that will fill the office = 
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
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Answer:
length is 40 and breadth is 20
Step-by-step explanation:
120 =2( l + b )
120 = 2( 2x +x )
120= 2 x 3x
120 =6x
120/6 = x
20 = x
length=2x = 2 x 20 = 40
breadth= x = 20.
hope it helps u
It is called the hardy Ramanujan's number, named after the Indian mathematician, Srinivasa Ramanujan, and British Mathematician G. H Hardy.
Hardy went to visit Ramanujan while he was ill. He noticed that the number of the taxi he went in was 1729, which he thought was a dull number.
1729 = 12³ + 1³
1729 = 10³ + 9³
Fujiwara claimed that he proved there are only four numbers that have the property. Even though it seems to be true, he never has shown his proof. No other natural number, other than 1729, can be expressed as a sum of the cubes of two natural numbers in two different ways.
Hi there!
To write a equation of a graph, we must follow the formula y = mx + b, where m is the slope and b is the y-intercept. In this scenario, we can utilize this formula to get our answer. First, let's take a look at the y-intercept. To find this, we need to take a look at the graph. We can see that the line crosses the y-axis at the point (0,250). Hence, 250 will be our y-intercept. Now, we can move on to the slope. This can be found by first taking two points from our graph. Here are the two points I'll be using - (0,250)(2,200). Now, use the slope formula, which goes as m = y₂ - y₁ / x₂ - x₁. All we have to do is plug in the respective values from the coordinate points. We get -
m = 200 - 250 / 2 - 0
m = -50 / 2
m = -25
Using the information we have derived, we can construct the equation y = -25x + 250. Usually, the answer should be written in standard form, which goes as Ax + By = C, where A, B, and C are numbers. Therefore, to derive y = -25x + 250 into standard format, we must add 25x to both sides. This gives us y + 25x = 250. Hope this helped and have a marvelous day!