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3 years ago

The volume of a cylinder is 225pi in.Cubed and the height of the cylinder is 1 in. What is the radius of the? cylinder?

Mathematics

1 answer:

arlik [135]3 years ago

6 0

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have

$V=225\pi in^3\\\\H=1\ in$

Substitute:

$225\pi=\pi r^2(1)$ <em>divide both sides by π</em>

$225=r^2\to r=\sqrt{225}\\\\r=15\ in$

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Find the measure of each angle indicated

Natalija [7]

Answer:

what's the angle

Step-by-step explanation:

it's not induded

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2 years ago

Solve by using proper methods. Show your work.

NeX [460]

Answer:

$70,201.38

Step-by-step explanation:

To determine the principal amount, we can use the formula:

$P=\dfrac{A}{(1+\frac{r}{n})^{nt}}$

A = $200,000

r = 7% or 0.07

t = 15 years

n = 12

Now let's substitute our values.

$P=\dfrac{200,000}{(1+\frac{0.07}{12})^{12(15)}}$

$P=\dfrac{200,000}{(1.00583333333)^{12(15)}}$

$P=70,201.38$

So the principal needed to get 200,000 in 15 years is $70,201.38.

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2 years ago

at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

#SPJ9

6 0

1 year ago

Read 2 more answers

You and your friend are sharing 3/8 of a bag of candy how much of the bag will each of you get share it evenly. Is it going to b

olga_2 [115]

Answer:

You and your friend both get 3/16 of the bag.

Step-by-step explanation:

3/8 divided by 2 friends

3/8 / 2 = 3/16

6 0

2 years ago

Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants

garri49 [273]

0.4% can be written as 0.004 in decimal.

Step-by-step explanation:

Let the total amount she wants to save be 'a'

Starting amount = 0.4% of the total amount

= 0.4% of a

= (0.4/100) a

0.4% = 0.4/100

= 0.004

0.4% can be written as 0.004 in decimal.

5 0

2 years ago