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
olasank [31]
3 years ago
9

What is the surface area of a conical grain storage tank that has a height of 37 meters and a diameter of 16 meters? Round the a

nswer to the nearest square meter. A. 2,831 square meters B. 2,664 square meters C. 1,152 square meters D. 1,131 square meters
Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
The surface area of a cone is equal to the base plus the lateral area.

The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.

To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433

The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)

Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
You might be interested in
A total of 625 tickets were sold for the school play. They were either adult tickets or student tickets. There were 75 fewer stu
inn [45]

Answer:

75 less student tickets than adult tickets. The total is 625 tickets. So the student and adult tickets have to equal 625 when added.

Step-by-step explanation:

Student tickets: 275

Adult tickets: 350

7 0
3 years ago
Read 2 more answers
I need help now btw i am in middle school
vodomira [7]

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

5 0
3 years ago
Read 2 more answers
A line that passes through (-1, 6) and the origin
zmey [24]

Answer: The equation is y = -6*x

Step-by-step explanation:

I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:

a = (y₂ - y₁)/(x₂ - x₁)

Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:

a = (6 - 0)/(-1 - 0) = 6/-1 = -6

Then our equation is something like:

y = -6*x + b

To find the value of b we can use the fact that this line passes through the point (0, 0).

This means that when x = 0, y is also equal to zero.

If we replace these values in the equation we get:

0 = -6*0 + b

0 = b

Then our equation is:

y = -6*x

7 0
3 years ago
Pls help me with this multiple choice !
s2008m [1.1K]

Answer:

B. x = 14, y = 14

Step-by-step explanation:

Look up "45 45 90 triangle" to see rules that are consistent between all triangles like this.

3 0
3 years ago
If an angle is three times of its supplement, find the angle​
zavuch27 [327]

Answer:

<h2>135° angle</h2>

Let the angle be x it's supplement = (180-x)

x = 3 (180-x)

⇒x=540−3x

⇒4x=540⇒x=135°

Step-by-step explanation:

Hope it is helpful....

5 0
3 years ago
Other questions:
  • NEED HELP ON THIS . THANKS FOR THE HELP
    11·1 answer
  • A zoo has 40 emperor penguins . if 30% of them are male , how many are male
    13·1 answer
  • 5(5t + 1) = 25t-7<br> Can someone help me with this solution??
    14·1 answer
  • Solve each system by substitution <br> 5x + 7y = -23<br> Y = -2x - 11
    14·1 answer
  • When is the estimation. of products a useful tool
    5·2 answers
  • If ABCD is a parallelogram, m A<br> B<br> (3x + 4)º<br> D<br> xº<br> C<br> Equation:<br> X=<br> (PLEASE HELP)
    6·1 answer
  • Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 ho
    10·1 answer
  • Can somebody solve this?
    14·2 answers
  • There are about 3.2*10^7 seconds in every year. The earth is approximately 4.5*10^9 years old. (That's 4 and a billion years old
    12·1 answer
  • Travis spies an owl in a tall tree. He estimates the height of the tree to be 85 feet and the angle of elevation to the bird fro
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!