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
Mars2501 [29]
3 years ago
9

A cone has a slant length of 10 and a diameter of 8. Height is unknown.

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 =r

r = 4  

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84= h²  

√84 =h

9.16= h

Back on the volume formula:

V= 1/3 π r² h

V =1/3 π 4² (9.16) =153.56

You might be interested in
The perimeter of a triangle is 37. One side of triangle is one foot longer than the second side. The third side is tgree feet lo
disa [49]

Answer:

First: 12 feet

Second: 11 feet

Third: 14 feet

Step-by-step explanation:

Let the second side of the traingle be x

First side of the triangle= x+1

Third side of the triangle= x+3

x+x+1+x+3 = 37

3x+4 = 37

3x = 37-4

3x = 33

x = 11

First side of the triangle= (11)+1

= 12

Second side of the triangle= 11

Third side of the triangle= (11)+3

= 14

5 0
3 years ago
Help with this solution
Juli2301 [7.4K]
Literally y is across from 112, so y=112
7 0
3 years ago
The circumference of a circle is 704 cm,find its area
Digiron [165]
The circumferince of the circle is 2πR ;
The area of the circle is πR^{2};
Then, 2πR = 704 ;
R = 352 / π ;
πR^{2} = π × ( 352 / π )^2 = ( 352^2) / π = 123904 / π ≈ 39459.87 ≈ 39460 cm^2 ;
5 0
2 years ago
Read 2 more answers
You have 3 number
Dominik [7]

Answer:

2

Step-by-step explanation:

The last number is 2

You calculate this by the only way the mean can be 4 is if the 3 numbers= up to 12. so 9 + 1=10 and if were looking for 12 we need 2 more so 2.

10 + 2=12

When dealing with mean you calculate the sum of all the number(check) then divided by the total of numbers so 3

12 divided by 3=4 and 4= your mean

Hope it helps have a great day:)

4 0
2 years ago
Find the product. -2x(x2 - 3)
zalisa [80]

Step-by-step explanation:

-2x(x2 - 3)

-2x³+6x

Hope it helps ☺️

5 0
2 years ago
Other questions:
  • Least common multiple of 70, 60, and 50
    11·1 answer
  • And, what is the least common multiple of 6,15, and 5
    11·2 answers
  • The volume of a box(V) varies directly with its length(l). Using k for the constant of proportionality, express the relationship
    11·1 answer
  • Need help so much help thanks for helping
    8·1 answer
  • An item originally priced at $160 was discounted to $84. What percent was the discount?
    15·2 answers
  • Which of these is equivalent to 8: 5<br><br>3:4<br><br>3:7<br><br>4:2<br><br>4:3<br><br>Pls help
    13·2 answers
  • Which value of x makes this equation true? –5(– 20 ) = 35 <br>A. -11<br>B. -3 <br>C. 13 <br>D. 27​
    6·2 answers
  • Can someone pls give me an explanation on how to do this pls
    5·2 answers
  • sammi is trying to wrap a gift for her brother. the gift fits into a cube-shaped box with a side length of 9 inches. how many sq
    13·1 answer
  • Shahida has seen an eagle landing at the top of the tree in her backyard. She places a camera on a tripod a distance of 12 feet
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!