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
djverab [1.8K]
2 years ago
11

What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.?

Mathematics
1 answer:
Eddi Din [679]2 years ago
3 0

Answer:

Hence the volume of the cone is 31384.52 cubic feet

Step-by-step explanation:

We must first need to understand how the volume of a cone is calculated.

It is simply calculated by multiplying the base area of the cone by the height, and dividing the result by 3.

This is :

Volume of cone = \frac{\pi r^2 h}{3}

we are not given the base area of the cone. However, we are given the circumference from which we can get the radius of the base.

Circumference =

2 \pi r=125.6ft\\r =125.6/2 \pi=19.99ft

hence the volume of the cone is

\frac{\pi (19.99)^2 75}{3}=31384.52ft^{3}

Hence the volume of the cone is 31384.52 cubic feet

You might be interested in
The average of 100 measurements is 23 and the average of 50 additional measurements is 27.
Elden [556K]
Total value of 100 measurements
100 * 23
2300

Total value of additional 50 measurements
50 * 27
1350

Total value of 150 measurements
2300 + 1350
3650

Average of 150 measurements
3650 / 150
24.3

25 > 24.3

Answer is B
8 0
3 years ago
Point C is between points A and B on Find the missing length. AC = 12, AB = 34, CB = _____ a. 29 c. 28 b. 22 d. 32
JulsSmile [24]
Length of CB = Length of AB -AC
= 34 - 12 = 22
therefore the answer will be b.22
8 0
3 years ago
Simplify -1-7 + 41.
vodomira [7]

Answer:

33

Step-by-step explanation:

3 0
3 years ago
What is a soliloquy in a drama?
jolli1 [7]
This is not mathematics but ok......
soliloquy is when someone on stage speaks to them self as if thinking in their mind, expressing their thoughts and emotions, conveying them to the audience.
4 0
3 years ago
Read 2 more answers
Solve then check solution
klio [65]

Answer:

1. z = 128

2. x = 4.2

3. c = 10

4. w = 100

5. a = 95.2

Step-by-step explanation:

1. Solve for z:

z/16 = 8

Multiply both sides of z/16 = 8 by 16:

(16 z)/16 = 16×8

(16 z)/16 = 16/16×z = z:

z = 16×8

16×8 = 128:

Answer:  z = 128

_____________________________________________________

2. Solve for x:

3.5 x = 14.7

Divide both sides of 3.5 x = 14.7 by 3.5:

(3.5 x)/3.5 = 14.7/3.5

3.5/3.5 = 1:

x = 14.7/3.5

14.7/3.5 = 4.2:

Answer:  x = 4.2

____________________________________________

3. Solve for c:

32 = 3.2 c

32 = 3.2 c is equivalent to 3.2 c = 32:

3.2 c = 32

Divide both sides of 3.2 c = 32 by 3.2:

(3.2 c)/3.2 = 32/3.2

3.2/3.2 = 1:

c = 32/3.2

32/3.2 = 10:

Answer:  c = 10

__________________________________________________

4. Solve for w:

(2 w)/5 = 40

Multiply both sides of (2 w)/5 = 40 by 5/2:

(5×2 w)/(2×5) = 5/2×40

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) w = 5/2×40

5/2×40 = (5×40)/2:

(5×2 w)/(2×5) = (5×40)/2

(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:

w = (5×40)/2

2 | 2 | 0

| 4 | 0

- | 4 |  

| | 0

| - | 0

| | 0:

w = 5×20

5×20 = 100:

Answer: w = 100

___________________________________________________

5. Solve for a:

a/14 = 6.8

Multiply both sides of a/14 = 6.8 by 14:

(14 a)/14 = 14×6.8

(14 a)/14 = 14/14×a = a:

a = 14×6.8

14×6.8 = 95.2:

Answer:  a = 95.2

6 0
2 years ago
Other questions:
  • Fiona starts at the beginning of a hiking trail and walks 4/5 of a mile. She counts the mileage markers that are placed every 1/
    8·1 answer
  • What is the percent decrease from $150 to $100?
    5·2 answers
  • What is the range of the relation {(2, 4), (3, 4), (4,7), (5,7), (6,5)}?
    9·1 answer
  • Find the volume of the sphere with a radius of 2 Either enter an exact answer in terms of pi or use 3.14 for pi and round your f
    5·1 answer
  • What is the answer<br> 8÷2(2+2)
    10·2 answers
  • Find the length of AB
    9·1 answer
  • maria had $150 in gift certificates to use in a record store.she bought fewer than 20 recordings.each tape cost $5.95 and each c
    14·1 answer
  • Trenton and Maria record how much dry food their pets eat on average each day.• Trenton’s pet: 4/5 cup of dry food• Maria’s pet:
    7·1 answer
  • Evaluate each expression.<br> 8/7 + 4/7
    14·2 answers
  • The circle has a radius of 6 inches find it’s approximate area and circumference.. use 3.14
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!