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
forsale [732]
3 years ago
12

a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²  

Step-by-step explanation:

a) Volume

The formula for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓π × 6² × 9

V = ⅓π × 36 × 9

V = 108π cm³

V ≈ 339.3 cm³

=====

Curved surface area  

The formula for the lateral surface area (L) of a cone is

L = πr√(r² + h²)

L = π×6√(36 + 81)

L = 6π√[9(4 + 9)]

L = 6π√(9 × 13)

L = 18π√13 cm²

L ≈ 203.9 cm²

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

b) Base surface area

The base is a circle, so the formula for base surface area (B) is

B = πr²

B = π×6²

B = 36π cm²

B ≈ 113.1 cm²

=====

Total surface area

A = L + B

A = 18π√(13 +36π)

A = 18π(2 + √13) cm²

A ≈ 203.9 + 113.1

A ≈ 317.0 cm²

You might be interested in
Find the area of the bolded sector in the circle below.
Vilka [71]

Answer:

<u>Area of the sector formula:</u>

  • A = πr²(θ/360)

<u>We have:</u>

  • θ = 120
  • r = 12 mi

<u>Substitute values and find A:</u>

  • A = π(12²)(120/360) = 144π/3 = 48π
3 0
3 years ago
The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. W
MAXImum [283]

Answer: 4 feet (approx)

Step-by-step explanation:

Since, We know that the length of pendulum,

L= \frac{g.T^2}{4\pi^2}

Where L is the length of pendulum

T is the period,

And, g is the gravitational acceleration.( g=9.8 m^2/sec)

Here, T= 2.2 seconds

Thus, Length of pendulum,L= \frac{9.8\times (2.2)^2}{4\times (3.14)^2} = 1.20268570733 meter

1 meter= 3.28 ( approx)

Thus L= 1.20268570733 ×3.28 feet =3.94480912005 feet ≈4 feet


8 0
4 years ago
Read 2 more answers
What's the answer to the math problem 6y=8-9+6y
garik1379 [7]
<span>6y=8-9+6y
Subtract 9 from 8
6y=-1+6y
Subtract 6y from both sides
Final Answer: -1</span>
8 0
3 years ago
Read 2 more answers
Suppose Celine wants to choose a box that maximizes the amount of cereal it can hold. Volume of Box 1: 3x5 Volume of Box 2: 4x5
finlep [7]

The <em><u>correct answer</u></em> is:

Box 2

Explanation:

In these expressions, x represents the width of the box.  We are asked about widths greater than 1; let's us 1.1 as an example:

Box 1:

3(1.1⁵) = 4.83153

Box 2:

4(1.1⁵)-(1.1⁴) = 6.44204 - 1.4641 = 4.97794

With a difference as small as a tenth, the volume of box 2 is larger.  The larger the difference in width, the larger the difference in volume, and the volume of box 2 will be larger every time.

3 0
3 years ago
Read 2 more answers
Could you help please..
Nitella [24]
Since she needs 3 1/2 for 5, and you need to find one batch, get 3 1/2 and divide it by 5. Change 3 1/2 to an improper fraction (7/2). Now use KCS (keep change switch) Keep the 7/2, change division to multiplication, and switch 5/1 to 1/5. (7/2)•(1/5)
4 0
3 years ago
Other questions:
  • What are the domain and range of the function represented by the table?
    6·2 answers
  • A school district has 2 teaching positions to fill and there are 8 applicants to choose from. How many different possibilities a
    11·2 answers
  • Evaluate the following numerical expression (6+ 3) ÷ (4 - 5) =​
    9·1 answer
  • A recipe take 90 minutes to make.25% of the time is spent preparing the ingredients.How many minutes are spent preparing
    6·1 answer
  • Two hundred raffle tickets are sold for $3 each. One prize of $500 is to be awarded. Winners do not have their ticket coat refun
    12·1 answer
  • You win the lottery and decide to impress your friends by exhibiting a million-dollar cube of gold. At the time, gold is selling
    14·1 answer
  • Solve for n.<br> n-26 = -13<br> n=1
    11·2 answers
  • 8-p=-12-3p i have to figure out what p makes and it makes no since
    5·2 answers
  • Please help help help help !!!!! ASAP<br><br>Factorise <br><br>3у^2 - 54y + 243​
    11·2 answers
  • Find a polynomial which, when added to the polynomial 3x^2+3x-1 is equivalent to the following expressions:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!