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
Please help me with my maths homework asap. Thank youuu
notka56 [123]
A = 3.141 * (3km^2). Just put that into a calculator and bingo
5 0
3 years ago
Read 2 more answers
Can someone help! I know the answer I just need step by step!
baherus [9]

Answer:

4 \sqrt{2}

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

\implies \sqrt{32}=\sqrt{16 \cdot 2

Apply exponent rule \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}

\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}

Rewrite 16 as 4²:

\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}

Apply exponent rule \sqrt{a^2}=a

\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}

6 0
2 years ago
Read 2 more answers
Use the graph below to fill in the blank with the correct number: f(1) = _______
lions [1.4K]
F (1) = -2
hope this helps :)
5 0
3 years ago
A factory that makes granola bars uses 1⁄6 of a barrel of raisins in each batch. Yesterday, the factory used 5⁄6 of a barrel of
Luda [366]

Answer:

5 Batches.

Step-by-step explanation:

5*1/6 = 5/6

5 0
3 years ago
Hiii please help! i’ll give brainliest if you give a correct answer tysm
vitfil [10]

Answer:2 1/2 divided by 5/8 = ?

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • There a 5 seniors on student council. Two of them will be chosen to go to an all-district meeting. How many ways are there to ch
    5·2 answers
  • John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling love bait for $12 a poun
    6·1 answer
  • What number us 17 less than the product of 7 and 11
    9·1 answer
  • The Americans with disabilities act requires that wheelchair ramps have a slope no greater than 1/12 what is the minimum horizon
    6·1 answer
  • A prism is created using 2 pentagons as bases. The apothem of each pentagon 2.8 centimeters
    8·2 answers
  • Question is in the photo​
    7·1 answer
  • A bakery sells a box of 14 cookies for $13.50 and charges $0.65 for each additional cookie. If Pamela has $30.00 to buy the box
    14·1 answer
  • Simplify the expression<br> 70.7-5.76
    5·1 answer
  • Solve each equation for the indicated variable. Solve for pi.
    6·1 answer
  • PLEASE HELP How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!