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
storchak [24]
2 years ago
13

A cone has a slant length of 5 and a diameter of 4. What is the volume of the cone? Use π ≈ 3.14.

Mathematics
2 answers:
Olegator [25]2 years ago
3 0

Answer:

V = 19.19 cubic units

None of the options are correct.

Step-by-step explanation:

Volume of a cone is given as;

V = ⅓πr²h

Now, we are given;

diameter = 4 units

Thus radius;r = diameter/2 = 4/2 = 2 units

I have attached an image to show the diagram of the cone.

Now, to find the height (h), we know the radius(r) and we know the slant length(l) . So we can use Pythagoras theorem to find the height.

From Pythagoras theorem;

r² + h² = l²

Where l is the hypotenuse or the slant side while "r" is the radius of the cone while the height will be "h"

Thus;

2² + h² = 5²

h² = 5² - 2²

h² = 25 - 4

h² = 21

h = √21

h = 4.5826 units

So height (h) = 4.5826 units

Volume of cone;V = ⅓πr²h

We are told that π = 3.14

Thus;

V = ⅓ x 3.14 x 2² x 4.5826

V = 19.19 cubic units

Gennadij [26K]2 years ago
3 0

Answer:A on edge

Step-by-step explanation:

You might be interested in
NIKKI'S BACKYARD IS THE SHAPE OF A RECTANGLE. THE LENGTH IS 27 FEET. THE WIDTH IS ONE THIRD THE LENGTH PLUS 4 FEET. WRITE AND EV
Oxana [17]
27÷3+4=w×L...........I hope I'm right
6 0
3 years ago
Read 2 more answers
It takes Planet Netflix 24 hours to complete a full rotation.
Arisa [49]
72 days equals 24×72=1728 hours plus 16= 1744 plus 30 minutes is 1744.50

4 0
3 years ago
Read 2 more answers
Evaluate -8w + 3z when w = 2.2 and z = -9.1.
atroni [7]
-8w+3z
w=2.2
z=-9.1

-8(2.2)+3(-9.1)
-17.6-27.3
-44.9

The answer is -44.9
8 0
3 years ago
Read 2 more answers
Stephen record the growth of a plant over 10 weeks for his science project he made a graph that shows how much the plant group e
vazorg [7]

Answer:

y= 6/5x + 2

If you substitute the points (5,8) you get:

8 = 6/5 × 5 + 2

8 = 6 + 2

Step-by-step explanation:

5 0
3 years ago
A board measures 34.1 cm. What is the greatest possible error allowed for the measurement?
gladu [14]
Greatest error is half smallest measuring unit. It's measured to 0.1 cm , half that is 0.05 cm answer D.
7 0
2 years ago
Other questions:
  • I need help with #14 & #16
    6·1 answer
  • What is the value of x?
    6·1 answer
  • What is 2.7 repeating as a fraction?
    15·2 answers
  • The surface area of A and B of the following cuboid are 35 cm" and 21
    11·1 answer
  • 18. © MP.2 Reasoning A club collected
    7·1 answer
  • How many solutions does this system have?
    11·1 answer
  • It took Hannah 32 minutes to run 8 laps. How many minutes will it take her to run 1 lap?
    10·1 answer
  • A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?
    12·2 answers
  • What is the midline of the function graphed below?<br><br> y = 1<br> y= 0.5<br> y = 0<br> y =2
    7·1 answer
  • Find the measures of the interior angles of the triangle.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!