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
juin [17]
4 years ago
11

What is the volume of the cylinder shown? (Use 3.14 for π .) the height is 21 in and half the diameter is 15 .

Mathematics
1 answer:
-BARSIC- [3]4 years ago
7 0

Answer:

Volume = 14,836.5 cubic inches

Step-by-step explanation:

Cylinder not shown but information given. So we will calculate the volume.

Volume of Cylinder is given by the formula:

V=\pi r^2 h

Where

V is the volume

r is the radius (HALF of DIAMETER)

h is the height

It is given in the problem,

Height is 21

h = 21

and

half the diamter (aka radius) is 15

r = 15

Substituting into formula and using 3.14 for \pi, we get the volume:

V=\pi r^2 h\\V=\pi (15)^2 (21)\\V=(3.14)(225)(21)\\V=14,836.5

Hence, the volume is:

Volume = 14,836.5 cubic inches

You might be interested in
Find an equation in slope intercept form of a line having slope 6 and y-intercept 2
xz_007 [3.2K]

Answer:

<h2>y = 6x + 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the slope <em>m = 6</em>, and the y-intercept <em>b = 2</em>.

Substitute:

y=6x+2

4 0
3 years ago
I need help ASEP please help me
Arisa [49]

Answer:

5

Step-by-step explanation:

it is 5 because you do 1+4=5

6 0
3 years ago
Please help me with question number 2
Mice21 [21]

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

8 0
3 years ago
The midpoint of line MN is P(5,5). One of the end points in M(-4,2). Find the coordinate of endpoint N.
Greeley [361]
-4 + x                        2 + y
-------  =  5  and         ------  = 5
   2                               2

so x = 10 + 4 = 14  and y = 10 - 2 = 8

endpoint N = (14,8)
7 0
3 years ago
PLEASE HELP ASAP!!!
Sonbull [250]
2x^2 - 7x - 6 = 0

x1 = \frac{- b  +  \sqrt{ {b}^{2} - 4ac }}{2a}
x2 = \frac{- b   -   \sqrt{ {b}^{2} - 4ac }}{2a}
where a=2
where b=-7
where c=-6

solve for x1 and x2

x1=4.21
x2=-0.71
6 0
3 years ago
Other questions:
  • Trevor makes a scale drawing of a doghouse that he is building. The scale he uses is 1 in. :0.4ft. What is the actual area of th
    7·1 answer
  • Gil earned these scores on the first three tests in mathematics this term mid 86, 88and 78. What is the lowest scores that Gil c
    10·1 answer
  • Why is -3 an integer?
    10·2 answers
  • What is 0.44 written as a fraction in simplest form
    5·2 answers
  • Mai is filling her fish tank How many gallons of water will be in the fish tank after<br> 3 minutes?
    7·1 answer
  • Question 7 (5 points)
    9·1 answer
  • Please help guys I’m really struggling
    7·2 answers
  • Given cosΘ=2/3 and sinΘ&gt;0, find sinΘ
    6·1 answer
  • G. 10 quarts<br> =<br> pecks<br> How many pecks are in 10 quarts?
    5·2 answers
  • Help me lolol skixisknwnd
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!