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
P is 9 more than half of q
posledela
I hope this helps you




P=q/2+9
8 0
3 years ago
I WILL GIVE BRAINLEST!!!
lukranit [14]

Answer:

Step-by-step explanation:

To find the zeros of this polynomial, set the polynomial equal to zero, and then set each of the factors equal to zero separately.  Solve each equation for x:

x  - 1 = 0 yields x = 1.     The x-intercept is (1, 0).

x + 3 = 0 yields x = -3.   The x-intercept is (-3, 0).

2x + 1 = 0 yields x = -1/2   The x-intercept is (-1/2, 0)

4 0
3 years ago
Read 2 more answers
Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. A
Verdich [7]

Answer:

A  B  C

Step-by-step explanation:

6 0
3 years ago
2x=8 <br>so find the value of x​
melisa1 [442]

Answer:

x = 4

Step-by-step explanation:

2x/2 = 8/2

x =4

6 0
3 years ago
Simplify the following expression. <br>7^-5/6.7^-7/6. <br>1/49<br>1/14<br>14<br>49
Serggg [28]

{7}^{  - \frac{5}{6} }  \times  {7}^{ -  \frac{7}{6} }  \\  =  {7}^{ -  \frac{5}{6} -  \frac{7}{6}  }  \\  =  {7}^{  -  \frac{12}{6} }  \\  = {7}^{ - 2}  \\  =  \frac{1}{ {7}^{2} } \\  =  \frac{1}{49}
The answer is 1/49
4 0
3 years ago
Other questions:
  • A debt greater than 20$ and less than 30$
    9·1 answer
  • What is the distance between the points-6,7 and -1,1 round to nearest whole unit
    6·2 answers
  • A ball is kicked from ground level with a velocity of 20 m/s at 30 degrees above the horizontal. Determine the horizontal displa
    11·1 answer
  • Are a parallelogram and a pentagon always sometimes or never similar
    10·2 answers
  • the measure of an exterior angle of a regular polygon is given find the measure of an interior angle and find the number of its
    13·1 answer
  • Hahn passes the 0 point running 5 meters per second to the right. where will he be 6 seconds later
    13·1 answer
  • For which values of x is the function y = 5 / (x-4)(x+5) not defined? Select all that apply.
    12·1 answer
  • mrs. houston puts 5 ounces of snack mix in each bag how many pounds of snack mix does she need to fill 32 bags
    7·1 answer
  • On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1).
    9·2 answers
  • Solve for x. 6-2^4x = 21<br> OA. 0.24<br> OB. 0.53<br> OC. 0.45<br> OD. 0.06
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!