1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Jlenok [28]
3 years ago
7

The cone shown has a diameter of 18 meters and a slant height of 15 meters. Which choice is closest to the lateral surface area?

Use 3.14 to approximate pi.
Mathematics
2 answers:
never [62]3 years ago
7 0
If you unfurl the lateral "face" of a cone, you get the sector of a circle whose central angle subtends an arc with length L equal to the circumference of the cone's base, and a radius equal to the slant height s of the cone.

Since the diameter of the base is 18m, the circumference of the base is about 3.14\times18=56.52 meters, so this is the value of L.

You're given a slant height of s=15 meters.

Now, the following proportional relation holds for any circle:

\dfrac{\text{area of sector}}{\text{area of circle}}=\dfrac{\text{arc length of sector}}{\text{circumference of circle}}

This translates to

\dfrac A{\pi\times s9^2}=\dfrac s{2\pi s\times9}

(remember, we're talking about a sector of a circle with radius s and arc length 18\pi). Solving for A:

\dfrac A{81\times3.14}=\dfrac{15}{18\times15\times3.14}
A=\dfrac92=4.5

So the area of the lateral face is approximately 4.5 square meters.
nadezda [96]3 years ago
4 0

Its 424 square meters


You might be interested in
What is 1/4 + 5/6 equals what
Alex

Answer:

1 1/12

Step-by-step explanation:

You need to find a common denominator that fits both 1/4 and 5/6. We know that 12 fits both, so we multiply each to get it, for example:

1/4 = 3/12

5/6 = 10/12

Now we say 3/12 + 10/12 = 13/12 and simplify to get 1 1/12

6 0
3 years ago
Read 2 more answers
What is the best estimate length of a football
Ne4ueva [31]
11 to 11.2 inches Is an estimate length of a football
5 0
3 years ago
Anny goes bowling. He has $25.00 to spend. He spends $4.25 to rent shoes. He spends $2.50 for each game he bowls. Which inequali
spayn [35]

Answer:

D. 25 +4.25x < 25

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csf%5Cfrac%7B%7B96%7D%5E%7B84%7D%7D%7B%7B96%7D%5E%7B82%7D%7D%3D..." id="TexFormula1" title="
NNADVOKAT [17]
<h3>☁️ Learn Math With Me-!</h3>

\sf\frac{{96}^{84}}{{96}^{82}}=... \\

\sf =  {96}^{84}  \div  {96}^{82}

\sf =  {96}^{84 - 82}

\sf =   {96}^{2}

\sf = 96 \times 96

\sf = 9.216

Correct Me If I'm Wrong :)

6 0
3 years ago
Read 2 more answers
There are 8 blue marbles, 3 red marbles, and 4 yellow marbles in a bag. What is the probability of selecting a purple marble on
andreyandreev [35.5K]

Answer:

0

Step-by-step explanation:

there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which method would you use to prove that the two triangles are congruent?
    5·1 answer
  • 4=x^2-7 solve each equation
    12·2 answers
  • 8.50 as a rational number?
    7·1 answer
  • Solve and simplify: x(x - 1) = 121 – x​
    7·2 answers
  • Determine if the number is rational or irrational.
    6·1 answer
  • Find the value of c so that the polynomial p(x) is divisible by (x-3).<br> p(x) = -x^3+cx^2-4x+3
    10·1 answer
  • The purchase price of a camcorder is $520. What is the total price if the sales tax rate is 9.5%?
    11·1 answer
  • What is 75,000 rounded to the nearest ten thousand. Explain.
    14·2 answers
  • lec types 3/5 of a paragraph in 2/3 minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in
    9·1 answer
  • Factor each Polynomial​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!