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
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 ☺️

You might be interested in
If y= 1/5 when x=3, find y when x=4, given that y varies directly with x
lisov135 [29]

Answer:

<h2>y =  \frac{4}{15}</h2>

Step-by-step explanation:

To find y when x=4, we must first find the relationship between them

The statement

y varies directly with x is written as

<h3>y  \:  \:  \:  \alpha  \: \:   \: kx</h3>

where k is the constant of proportionality

From the question

when y = 1/5

x = 3

Substitute the values into the above formula and solve

That's

<h3>\frac{1}{5}  = 3k \\ 15k = 1 \\ k =  \frac{1}{15}</h3>

So the formula for the variation is

<h3>y =  \frac{x}{15}</h3>

From the question

when x = 4

<h3>y =  \frac{4}{15}</h3>

Hope this helps you

5 0
3 years ago
What is the answer to this question?​
Yanka [14]

Answer:

Step-by-step explanation:

there is no question

6 0
4 years ago
Read 2 more answers
Suppose a video store charges non-members $4 to rent a video. A membership costs $21 and then videos cost only $2.50 to rent. Ho
densk [106]

Answer:

You need to rent  14  videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.

Step-by-step explanation:

Let Number of videos to be rented be x;

Given:

For non members;

Cost of renting 1 video = $4

Cost for renting x videos = 4x

For Members;

Membership cost = $21

Cost of renting 1 video =  $2.50

Cost of renting x video =  2.5x

We can create an equation. Say the number of videos you rent is given by x . We can write that, if we rent  x  videos without membership, we'll have to pay 4x . If we rent the same amount of videos with membership, we'll have to pay 21+2.5x.

Hence the equation can written as

4x=21+2.5x\\4x-2.5x=21\\1.5x=21\\x=\frac{21}{1.5}=14

Hence You need to rent  14  videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.

5 0
3 years ago
PLEASEEE HELPPP MEEE I HAVE TO TURN THIS IN SOOONNN
____ [38]

Answer:

search that to quick math

Step-by-step explanation:

.,..........

3 0
3 years ago
Find the least common multiple of x3 - x2 + x - 1 and x2 - 1. Write the answer in factored form.
Contact [7]
The solution to the problem is as follows:

x^3-x^2 +x -1= x^2(x-1) +(x-1)=(x-1)(x^2+1) ,(common factor x-1 
<span>
(x^2-1)=(x-1)(x+1) </span>
<span>
LCM=(x-1)(x^2+1)(x+1) </span>
<span>
=(x^2-1)(x^2+1)=x^4-1

I hope my answer has come to your help. God bless and have a nice day ahead!
</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • 340 over 8 as a unit rate
    7·2 answers
  • The hawaiian alphabet has 18 symbols. how many bits are needed to represent just these symbols?
    14·1 answer
  • Plz help, I don't understand this.
    13·1 answer
  • Lines of ________________ run north and south but measure east and west. *
    14·2 answers
  • Write the equation of the line that has a slope of -3/2 and passes through (4, -3)
    15·1 answer
  • PLEASE HELP ME........​
    15·1 answer
  • Which is the greatest of the common factors of two or more numbers?
    13·1 answer
  • First to answer gets brainliest
    7·1 answer
  • 5) A grocery store paid $147.98 for 7 crates of milk. This can be
    11·1 answer
  • 5ab^2 - 12a^2b + 3ab + ab^2 + 4a^2b
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!