All categories

3 years ago

Given a right cone with radius r and slant height s, what does the formula pi rs represent

Mathematics

2 answers:

frosja888 [35]3 years ago

6 0

<h2>Answer:</h2>

The formula πrs represent the lateral surface area of the cone.

<h2>Step-by-step explanation:</h2>

Lateral surface area--

The lateral surface area of a solid ( i.e. a three dimensional object) is the area of all the sides of the solid excluding the area of the base as well as top of the solid.

If r is the radius of the cone and s is the slant height of the cone then the lateral surface area of the cone is given by the formula:

$Lateral\ surface\ area=\pi rs$

densk [106]3 years ago

5 0

The formula of pi rs represents the formula to find the lateral surface area of a right cone.

You might be interested in

A random experiment was conducted where a Person A tossed five coins and recorded the number of ""heads"". Person B rolled two d

cestrela7 [59]

Answer:

(10) Person B

(11) Person B

(12) $P(5\ or\ 6) = 60\%$

(13) Person B

Step-by-step explanation:

Given

Person A $\to$ 5 coins (records the outcome of Heads)

Person $\to$ Rolls 2 dice (recorded the larger number)

Person A

First, we list out the sample space of roll of 5 coins (It is too long, so I added it as an attachment)

Next, we list out all number of heads in each roll (sorted)

$Head = \{5,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,0\}$

$n(Head) = 32$

Person B

First, we list out the sample space of toss of 2 coins (It is too long, so I added it as an attachment)

Next, we list out the highest in each toss (sorted)

$Dice = \{2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6\}$

$n(Dice) = 30$

Question 10: Who is likely to get number 5

From person A list of outcomes, the proportion of 5 is:

$Pr(5) = \frac{n(5)}{n(Head)}$

$Pr(5) = \frac{1}{32}$

$Pr(5) = 0.03125$

From person B list of outcomes, the proportion of 5 is:

$Pr(5) = \frac{n(5)}{n(Dice)}$

$Pr(5) = \frac{8}{30}$

$Pr(5) = 0.267$

<em>From the above calculations: </em> $0.267 > 0.03125$ <em> Hence, person B is more likely to get 5</em>

Question 11: Person with Higher median

For person A

$Median = \frac{n(Head) + 1}{2}th$

$Median = \frac{32 + 1}{2}th$

$Median = \frac{33}{2}th$

$Median = 16.5th$

This means that the median is the mean of the 16th and the 17th item

So,

$Median = \frac{3+2}{2}$

$Median = \frac{5}{2}$

$Median = 2.5$

For person B

$Median = \frac{n(Dice) + 1}{2}th$

$Median = \frac{30 + 1}{2}th$

$Median = \frac{31}{2}th$

$Median = 15.5th$

This means that the median is the mean of the 15th and the 16th item. So,

$Median = \frac{5+5}{2}$

$Median = \frac{10}{2}$

$Median = 5$

<em>Person B has a greater median of 5</em>

Question 12: Probability that B gets 5 or 6

This is calculated as:

$P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}$

From the sample space of person B, we have:

$n(5\ or\ 6) =n(5) + n(6)$

$n(5\ or\ 6) =8+10$

$n(5\ or\ 6) = 18$

So, we have:

$P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}$

$P(5\ or\ 6) = \frac{18}{30}$

$P(5\ or\ 6) = 0.60$

$P(5\ or\ 6) = 60\%$

Question 13: Person with higher probability of 3 or more

Person A

$n(3\ or\ more) = 16$

So:

$P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Head)}$

$P(3\ or\ more) = \frac{16}{32}$

$P(3\ or\ more) = 0.50$

$P(3\ or\ more) = 50\%$

Person B

$n(3\ or\ more) = 28$

So:

$P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Dice)}$

$P(3\ or\ more) = \frac{28}{30}$

$P(3\ or\ more) = 0.933$

$P(3\ or\ more) = 93.3\%$

By comparison:

$93.3\% > 50\%$

Hence, person B has a higher probability of 3 or more

7 0

2 years ago

Factor this expression completely. Write the factored expression in the space provided.

Luba_88 [7]

Answer:

Step-by-step explanation:

So let's factor!

Let's see whats this about...

$3x^{3} +15x^{2} +18x\\3x(x^{2} +5x+6)\\3x(x-1)(x+6)$

So, there you go!

sorry if this did not make sense...

What I did was essentially factor out 3x first, and then factor the second product by grouping.

Hope this Helps!

P.S. Stay Safe!

5 0

3 years ago

What is the volume of a sphere with a surface area of 100 ft

11Alexandr11 [23.1K]

The volume of a sphere with a surface area of 100 ft is 94.03 :)

4 0

3 years ago

What is the median?

My name is Ann [436]

Answer:

767

Step-by-step explanation:

8 0

2 years ago

1/3(12x-24)=16 answer

mafiozo [28]

Answer:

x = 6

Step-by-step explanation:

4 0

3 years ago