Part A: Jan INCORRECTLY
finds the surface area of the
cone using the following
work. Explain Jan's error
and find the
correct volume AND
surface area of the cone.

Part A: Jan INCORRECTLYfinds The Surface Area Of Thecone Using The Followingwork. Explain Jan's Errorand

Answers

Answer 1

The volume of the cone is 2786.2 cubic meters and the surface area of the cone is 1229.51 square meters.

Given the height (h) of a cone as 22 m and the diameter (d) of its circular base as 22 m, we can find the radius (r) of the circular base using the formula:

r = d/2 = 22/2 = 11 m

Here, Jan made a mistake in the work of the surface area of the cone because she used the wrong value of slant height (l=22) in the calculation.

The volume (V) of a cone is given by the formula:

V = (1/3)πr²h

Substituting the values of r and h, we get:

V = (1/3)π(11)²(22)

V = 2786.2 cubic meters

The surface area (A) of a cone is given by the formula:

A = πr(r + l)

here l is the slant height of the cone, which can be found using the Pythagorean theorem:

l = √(r² + h²)

l = √(11² + 22²)

l = √(605)

l = 24.6

Substituting the values of r and l, we get:

A = π(11)(11 + 24.6)

A ≈ 1229.51 square meters

Therefore, the volume of the cone is 2786.2 cubic meters and the surface area of the cone is 1229.51 square meters.

Learn more about the volume of the cone here:

brainly.com/question/1578538

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Related Questions

what is 48 *3/8 explain

Answers

Answer:

18

Step-by-step explanation:

=(

48

1

)(

3

8

)

=

(48)(3)

(1)(8)

=

144

8

=18

Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question

Answers

Answer:

I guess 5

Step-by-step explanation:

2 q 0 n 0 d

1 q 1 n 2 d

1 q 3 n 1 d

1 q 5 n 0 d

0 q 3 d 4 n

2. Vernon practiced soccer 5 hours this week. He practiced 4 hours on weekdays and the rest over the weekend.
a. Write an equation that represents the situation. Define your variable.

b. What is the least common multiple of the denominators of 5 and 4 ? Show your work.

c. Solve the equation and interpret the solution. Show your work.​

Answers

I think it is either b or a

Answer:

a- Vernon practiced soccer 5  3/4hours this week. He practiced 4  1/3hours on weekdays and the rest over the weekend.

Step-by-step explanation:

Hope this helps

please help with question ​

Answers

Answer:

70

Step-by-step explanation:

180 - (90) - (20)

90 - 20

70

70 because 90-20 so that will equal 70

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.
15 cm
24 cm
38 cm
41 cm
53 cm

Answers

The answer is 24 cm and 38 cm

Answer:

B and C

Step-by-step explanation:

help its pre- algebra

Answers

Answer:

bananas: 2480

plantains: 20

Step-by-step explanation:

equations:

b+p=2500

b=124p

just plug then in and solve

Answer:

20 plantains and 2480 bananas

Step-by-step explanation (b is bananas + p is plantains):

2500 = b+p

b=124*p

2500=(124*p)+p

2500=125p (divide by 125)

20=p

b=124(20)

b=2480.

20

Suppose C1;C2;C3 are three didifferent biased coins, whose probability of heads equals 0.4, 0.5, and 0.2 respectively. Suppose coins are placed together in a box and you randomly picked a coin from the box. Flip the coin 10 times. Let A denote the event you randomly chose coin C1. Let B denote the event that you got exactly 4 heads out of the 10 coin flips.

Compute the following probabilities:

P(A∩B)
P(B)
P(A|B)

Answers

Solution :

[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]

                [tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]

               = 0.0836

P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)

     [tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]

    [tex]$=0.0836+0.0684+0.0294$[/tex]

    [tex]$=0.1813$[/tex]

P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]

          [tex]$=\frac{0.0836}{0.1813}$[/tex]

         [tex]$=0.4611$[/tex]

how many four-character alpha-numeric codes are possible if repeated characters are not allowed?

Answers

Answer:

1,413,720

Step-by-step explanation:

Total number of characters = letters + numbers

= 26 + 10

= 36.

So total number of possible codes

= 36P4

=  36!/ (36-4)!

= 36*35*34*33

= 1413720

A 26-year-old male buys 100/300/100 liability insurance, collision insurance with a $100 deductible, and comprehensive insurance with a $250 deductible What is his total annual premium? Liability Insurance Type Bodily injury Amount Premium 25/50 $220 50/100 $310 100/300 $450 25 $175 50 $245 100 $375 Property damage Collision & Comprehensive Premiums Deductible Collision Comprehensive $215 $129 $250 $185 $102 $500 $148 $85 $100 Rating Factor a Male 3.0 Female 1.45 Age 17-20 21-24 25-29 1.2 215 1.55 1.0 $1142.00 $1765.45 $1770.10 $1785.25​

Answers

Correct me if I’m wrong, I believe you have to add all of those numbers together. Then divide after and plug in those remaining digits

Answer: $1770.10

Step-by-step explanation:

Step 1.

450+ 375= 825

Step 2.

825+ 215+ 102= 1142

Step 3.

1142 × 1.55= 1770.1

please help me , i need this like right noww pleaseeeeeeee !!!!!!!!

Answers

Answer: -9

Step-by-step explanation:

KH = x -1 and Eh =2x-12

2x-12 =10-1=9

The answer should be -9

How much would you need to deposit in an account each month in order to have $40,000 in the account in 8 years? Assume the account earns 3% annual interest compounded monthly.

Answers

Answer:

$166666.67

Step-by-step explanation:

$40000 = amount after 8 years time = 8 years interest = 3%principle amount = ?? ( p )$40000 = (( p ) × 3 × 8 )÷100p = (40000 × 100) ÷ ( 3 × 8 )p = $166666.67

MARK ME AS BRAINLIST

how do u do this
ahahahehhehehe

Answers

Answer and Step-by-step explanation:

Angle 1 and angle 2 combined equals 180.

So, to find angle 1, we subtract angle 2 from 180.

180 - 57 = 123

m∠1 = 123°

#teamtrees #WAP (Water And Plant)

Answer:

answer is 127 try it and ark me as brainliest

Step-by-step explanation:

180-57

123degrees

A cone has a radius of 3 units and a height of 4 units.

1. What is this volume of this cone?

2. Another cone has quadruple the radius, and the same height. How many times larger is the new cone’s volume?

Answers

Answer:

1. V = 37.7

2. V =603.19

Step-by-step explanation:

1. V = (3.14)×3^2 4/3

V =37.7

2. V=(3.14)×(3×4)^2 4/3

V = (3.14)×12^2 4/3

V = 603.19

What is 50x60? Explain

Answers

Answer:

3000

Step-by-step explanation:

50 x 60 = 3000, because

5 x 6 = 30

then you add the 2 zeros making,

3000

Answer:

3000

Step-by-step explanation:

if we break it down, 5 x 6=30 but the numbers have zeros so you have to add one to that answer giving you 3000

Please answer for instant brainliest.

Answers

Answer:

5 T-shirts

or

35 T-shirts

Step-by-step explanation:

Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).

In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.

Lets start with 185 t-shirts.

If we do 185 shirts x $15 per shirt we get $2775

That is way above the total of $2,375 so we know that this cant be the answer.

Next we can do 110 t-shirts.

If we do 110 shirts x $15 this time we get $1650.

Now while this is less than the total this is not a multiple of 10.

To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.

$2,375 - $1650 = $725

Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.

Moving onto 35 t shirts lets take the same steps.

35 x $15 (price of adult t-shirt)

We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)

$2,375 - $525 = $1850.

Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.

So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.

Lets do the last one.

5 t shirts multiplied by $15

We get $75 from this and now lets subtract again from the grand total.

$2,375 - $75 = $2,300

Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.

Anyways I hope this helps :)\

EDIT :

I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.

The volume of a cylinder is 84 pie inches cubed what can be concluded about the volume of the con

Answers

Answer:

that it has a radius of (84/(h×pi))^1/3

Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an interest rate of 6.8%. She will be required to begin making payments six months after graduation. How much interest will accrue while she is still in school and over the six-month grace period? Please round to the nearest dollar. Do not include the dollar sign.

Answers

Answer: $‭3,927‬

Step-by-step explanation:

The interest will accrue as a simple interest rate for 10 years and then the grace period of six months.

The total time is therefore: 10.5 years.

Interest for those 10.5 years is:

= Loan amount * No. of periods * interest rate

= 5,500 * 10.5 * 6.8%

= $‭3,927‬

write each of these ratios in its simplest form 15 is to 20​

Answers

Answer:

3:4

Step-by-step explanation:

This ratio can be written as 15/20. 15 and 20 are both divisible by 5 so if you simplify this fraction by dividing both numbers by 5 you get 3/4 or 3:4.

Determine the missing card value that will result in a product of -324
-6 3 -9

Answers

Answer:

-2

Step-by-step explanation:

-324 ÷ -6 ÷ 3 ÷ -9 = 162

-324 ÷ 162 = -2

Miguel pays $42.99 per month at Be Fit Gym. Jina pays $215.94 every 6 months at
Main Street Gym. Which gym is more expensive? How much more does membership at
that gym cost each month?

Answers

Be Fit gym is more expensive and costs $42.99 per month while Main Street Gym costs $35.99 per month

PLEASE solve the question below

Answers

Answer:

42.30 m

Step-by-step explanation:

Let's take the distance between the campsite, AB, to be "x".

Since the two triangles are similar, their corresponding side lengths are proportional. Therefore:

47/x = 82/73.8

Cross multiply

x*82 = 47*73.8

x = (47*73.8)/82

x = 3,468.6/82

x = AB = 42.30 m (nearest hundredth)


During peak growing season, the kudzu vine can grow 6 inches in 12 hours. What is the growth
rate of kudzu in inches per hour?
А 0.25 inches
B
0.5 inches
С
2.0 inches
D
6.0 inches

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is B. 0.5 inches.

43,5 multiplicado por 8,6 y que la explicación o la operación venga incluida porfavor​

Answers

Answer:

la respuesta correcta es 374.10

Salem Middle School uses 800 pounds of flour each month
making cookies for school lunches. If they buy their flour in
50 pound sacks, how many sacks must they buy each month?
O A. 13
O B. 16
O C. 30
O D. 50


really confused.

Answers

B.16 because 800 divided by 50 is 16

What’s the value of DCB?
Pls help

Answers

Answer:

78

Step-by-step explanation:

angle ACD + angle DCB = 180   (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

The population of a town in 1920 was 3800 people. The town's population decreased linearly, and in 1924 the population was 3640. Find a formula for P , the town's population, in terms of t , the number of years since 1920.

Answers

Answer:

Your answer

P = 1.9 t

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

find the geometric of 5,8,9,12,15​

Answers

Answer:

mom this u?

Step-by-step explanation:

2. In the figure, is an exterior angle to triangle .

(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
Answer:

PLZ JUST SHOW YOUR WORK ON A PICE OF PAPER AND PLZ LABLE THEM A, B, C, D IF YOU DO U WILL BR MARKED BRAINLY'S.

Answers

Answer:a

Step-by-step explanation:

⇒ d + e + f = b + a + a + c + b + c

⇒ d +e + f = 2a + 2b + 2c

= 2(a + b + c)

But, according to triangle angle sum theorem,

a + b + c = 180 degrees

Therefore, ⇒ d +e + f = 2(180°)

= 360°

Answer:

I only know a and b so don't hate me...

Step-by-step explanation:

Part A)

 Angle 3 is 103° because 77° + ∠3= 180° and  ∠3 = 180° - 77° = 103°

Part B)

Angle 4 is 77° because ∠3 + ∠4 = 180° and  ∠4 = 180° - 103° = 77°

Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.

Answers

Step-by-step explanation: 2+2=4 +4x8=9

Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each other.) The probabilities were assigned using the . Define event A as the event that roommate A wins the game and thus does not have to wash the dishes.

Answers

Answer:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Step-by-step explanation:

Independent events:

If two events are independent, the probability of both happening is the multiplication of their probabilities.

Rock-paper-scissors rules:

A player that choose rocks beats one who chooses scissors.

A player that choose paper beats one who chooses rocks.

A player that choose scissors beats one who chooses paper.

Probability that roommate A wins the game and thus does not have to wash the dishes.

3 possible events:

Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)

So

[tex]p_R = 0.21*0.18 = 0.0378[/tex]

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).

So

[tex]p_P = 0.39*0.61 = 0.2379[/tex]

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).

So

[tex]p_S = 0.4*0.21 = 0.084[/tex]

Probability of roommate A winning:

[tex]p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597[/tex]

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

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