All categories

2 years ago

The diameter of a basketball is 24 centimeters. find the volume of the basketball

Mathematics

1 answer:

MatroZZZ [7]2 years ago

8 0

Answer:

2304π cm³

Step-by-step explanation:

The formula for the volume of a sphere is: 4πr³/3

The equation gave us the diameter so we can find the radius right away: 24 ÷ 2 = 12

Plug the radius in to the formula:

4π12³/3 = (4×1728π)/3

= 6912π/3

= 2304π

You might be interested in

How many tines greater is one mile then one foot

Gelneren [198K]

A mile is 5,280 times greater than a foot.

8 0

3 years ago

Jack Thomas has an ice cream cone with 280 calories. How long would it take him to burn off the calories by:

mariarad [96]

Well, it depends on what he's doing. Is he walking, jogging, or running? If he walked at a normal pace for an hour he would burn 415calories.

7 0

3 years ago

Read 2 more answers

Tyler's bag of shells weighs 4.97 pounds. He finds 2 stones that weigh the same as each other and adds them to the bag. Tyler's

LUCKY_DIMON [66]

Answer:

it should be 0.7

Step-by-step explanation:

5 0

3 years ago

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

If the quotient of a number and 15 is added to 1/5 the result is 17/15.find the number

earnstyle [38]

Hello,

Let's assume x the number
$\dfrac{x}{15} + \dfrac{1}{5} = \dfrac{17}{15} \\

 \dfrac{x}{15} + \dfrac{3}{15} = \dfrac{17}{15} \\

x+3=17\\
x=17-3\\
x=14


$

5 0

3 years ago