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Eva8 [605]
3 years ago
10

Find the lateral area and surface area of a cone with a radius of 12 and a height of 21

Mathematics
2 answers:
marishachu [46]3 years ago
6 0

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

<u>For Lateral Surface Area</u>

<h3><u>Formula</u><u>:</u> </h3>

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

<u>For</u><u> </u><u>Total</u><u> Surface Area</u>

<h3><u>Formula:</u></h3>

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The <u>Lateral Surface Area</u> is 911.32 square unit and <u>T</u><u>otal Surface Area</u> is 1361.7 square unit.

<u>-TheUnknownScientist</u>

Solnce55 [7]3 years ago
4 0

Step-by-step explanation:

Hope it's helpful to you dear frnd ☺️

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In the given figure p=120° and y : z=2 : 3 Find x, y and z​
Sindrei [870]

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 ,   2y = 3z  or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180     Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check:  60 + 72 + 48 = 180

5 0
3 years ago
Find the measure of each angle using the triangle sum theorem and exterior angle theorem
Paladinen [302]

(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)

So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.

180 - 130 = 50

You now know that two of the angles are 50°.

You now have two of the measurements for the triangle farthest to the left.

75° and 50°

75 + 50 = 125

180 - 125 = 55

a = 55°

Now that you have all the measurements for the first triangle, let's move onto the next one.

With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!

50 + 60 = 110

180 - 110 = 70

b = 70°


Finally, for the last triangle, you already have two of the measurements 60° and 85°.


85 + 60 = 145

180 - 145 = 35

c = 35°


Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.


I hope this helps! <3

3 0
3 years ago
(10)(11)<br><br> Geometry<br><br> Check Ans<br><br> 10) 5<br> 11) x = 33 y = 38 z = 109
ICE Princess25 [194]
Problem 10

You are correct. You divide 360 over the exterior angle measure to get 360/72 = 5

=========================================================

Problem 11

x = 33 is correct as this angle is an alternate interior angle pair with the 33 degree angle up top

y = 38 is correct since y+33+109 = 180 solves to y = 38. In other words: 38+33+109 = 180

z = 109 is correct. The opposite angles of a parallelogram are congruent

7 0
3 years ago
A carpect salesperson claims that a carpet on sid for $12.95 per square yard is 30% off its original price. What was its origina
Amiraneli [1.4K]
12.95      30
-------- =  ----
 x            100

1295  = 30x
-------    -----
30          30

x = 43.16666667
 
not sure how u want to round
8 0
3 years ago
Read 2 more answers
The number of books sold over the course of the four-day book fair were 190, 100, 272, and 74. Assume that samples of size 2 are
g100num [7]

Answer:

the answer is below

Step-by-step explanation:

We have the total number of possible samples = 4 * 4 = 16 (As 4 choices for each value)

in addition we have to as all sample occur with equal probability, probability of each sample = 1/16, below is samling distribution of mean

x1 x2 probabilityP(x1,x2) sample mean

190 190    1/16                 190

190 100    1/16                 145

190 272    1/16                 231

190 74    1/16                 132

100 190    1/16                 145

100 100    1/16                 100

100 272    1/16                 186

100 74    1/16                        87

272 190    1/16                 231

272 100    1/16                 186

272 272    1/16                 272

272 74    1/16                 173

74 190    1/16                 132

74 100    1/16                 87

74 272    1/16                 173

74 74    1/16                 74

Summarizing above with adding duplicate values

sample mean   probability

       74              1/16

      87               1/8

    100                1/16

    132                1/8

    145                1/8

    173                1/8

   186                1/8

   190               1/16

    231               1/8

   272               1/16

5 0
3 years ago
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