All categories

3 years ago

A ball has a radius of 18 cm.

2 answers:

4 0

Hello there.

A ball has a radius of 18 cm.

What is the approximate volume of the ball?

Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

Answer: 24416.64

Alex_Xolod [135]3 years ago

3 0

Answer:

The approximate volume of the ball is, 24,416.64 cubic cm

Step-by-step explanation:

Volume of a sphere is given by:

$V = \frac{4}{3} \pi r^3$

where,

V is the volume of the sphere

r is the radius of the sphere.

As per the statement:

A ball has a radius of 18 cm

⇒ $r = 18 cm$ and use $\pi = 3.14$

Substitute these in [1] we have;

$V = \frac{4}{3}\cdot 3.14 \cdot (18)^3$

⇒ $V = \frac{4}{3} \cdot 18,312.48$

Simplify:

$V = 24,416.64 cm^3$

Therefore, the approximate volume of the ball is, 24,416.64 cm^3

You might be interested in

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked

svp [43]

Answer:

The system of equations that represents this situation is

$\left \{ {{p+q=2} \atop {5p+4q=8}} \right.$

Step-by-step explanation:

A system of linear equations is a set of equations that have more than one unknown or variable. In these equations the unknowns are related to each other.

To propose a system of equations, you must first identify the unknowns or variables of the problem. For this you must know what you want to find out about the problem. And then a variable or letter must be assigned: One of the unknowns of the problem is called "q" and the other is called "p" (for this case)

In this case then:

"q" is the amount of hours it took Courtney to walk from her home to the beach.

"p" is the amount of hours it took him to walk from the beach to the park.

You know that the entire walk took 2 hours. This means that the amount of hours it took Courtney to walk from her home to the beach plus the amount of hours it took him to walk from the beach to the park must be 2. Expressed in an equation you get: p + q=2 Equation (A)

Now, the total distance Courtney walked was 8 kilometers. But you have as data the value of the speed at which Courtney walks from her house to the beach, and the speed at which she walks from the beach to the park.

But you should keep in mind that speed is equal to the distance traveled divided by time, or what is the same, distances are equal to speed by time.

$speed=\frac{distance}{time}$

distance=speed*time

So, as the data you have are the aforementioned speeds, and the amounts of hours it took Courtney to walk from her house to the beach, and from here to the park, and from the beach to her house, it is possible to determine the distances of as follows, remembering the way in which the variables were defined:

From her house to the beach:

distance 1= 4 kilometers per hour* q

From the beach to the park:

distance 2= 5 kilometers per hour* p

As mentioned the total distance that Courtney traveled was 8 kilometers, this is the distance from her house to the beach plus the beach to the park was kilometers. Expressed in an equation you get: 5p + 4q=8 Equation (B)

Finally, the system of equations that represents this situation is

$\left \{ {{p+q=2} \atop {5p+4q=8}} \right.$

8 0

3 years ago

Read 2 more answers

What are four key terms that can be used to describe Islam

horrorfan [7]

Answer:

Each of the four principles (beneficence, nonmaleficence,justice and autonomy) is investigated in turn.

Step-by-step explanation:

5 0

3 years ago

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. c

goldenfox [79]

The standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

<h3>What is the standard deviation?</h3>

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have a data set:

8, 16, 14, 8, 16

As we know the formula for standard deviation is:

$\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}$

Here σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observation in data set.

X = (8+16+14+8+16)/5 = 12.4

n = 5

After calculating the standard deviation will be:

σ = 3.67

Add 8 to each data value to get the new data set 16, 24, 22, 16, 24.

New standard deviation:

σ(new) = 3.67

The standard deviation of both the data are same we can say the standard deviation does not change when we add a constant to each data value.

Adding the same constant c to each data value results in the standard deviation remaining the same.

Thus, the standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ1

6 0

2 years ago

Write the equation of the line passing through the points (-4,7) and (-7,4)

Mnenie [13.5K]

Answer:

y=x+11

Step-by-step explanation:

5 0

3 years ago