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
zubka84 [21]
4 years ago
14

The circumference of the base of the cone is 8.5π inches. What is the volume of the cone in terms of π? Round to the nearest hun

dredth. Enter your answer in the box.

Mathematics
1 answer:
Contact [7]4 years ago
4 0

Answer:

The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.

Step-by-step explanation:

Volume = πr²(h/3) = ?

          Height = <em>15 inches</em> (from the diagram)

          Find r

since we are given the circumference of the base circle = 8.5π inches => 2πr

∴ 8.5π inches = 2πr

  ( 8.5π / 2π ) inches = r

  <em>4.25 inches</em> = (r) Radius

Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.

Volume = πr²(h/3)

             = π * (4.25 inches)² * (15 inches / 3)

             = π * 18.0625 inches² * 5 inches

Volume = ‬90.3125π inches³

Rounding to the nearest hundredth ≅ 90.31π inches³

You might be interested in
HELP PLEASE ASAP IM ON THE LAST ONE
inna [77]

Answer:

y=9; z=16

Step-by-step explanation:

7 0
3 years ago
Is 92 1/2 pounds equivalent to 1,480 ounces
kow [346]
Hi there!

Since

16 ounces = 1 pound,

We should divide 1480 by 16 and see if it equals 92.5.

1480 ÷ 16 = 92.5
92.5 = 92.5

Answer:
Yes.

Hope this helps!
8 0
3 years ago
Read 2 more answers
Question:
Genrish500 [490]

Answer:

x=56 and the exterior angle is 116

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +4) form a straight line so they make 180 degrees.

y + 2x+4 =180

Solve for y by subtracting 2x+4 from each side.

y + 2x+4 - (2x+4) =180 - (2x+4)

y = 180-2x-4

y = 176-2x


The three angles of a triangle add to 180 degrees

x+ y+ 60 = 180

x+ (176-2x)+60 = 180

Combine like terms

-x +236=180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Multiply each side by -1

-1*-x = -56*-1

x=56

The exterior angle is 2x+4.  Substitute x=56 into the equation.

2(56)+4

112+4

116


8 0
4 years ago
What are two other ways to name plane V?
astraxan [27]
Two other ways to name plane V are

plane ANCRMX

plane XMRCNA
5 0
3 years ago
Read 2 more answers
Lucy and Emily are racing with each other and Lucy is 90
Zina [86]

Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds

Given the Parameters :

  • Lucy's distance = 2t
  • Emily's distance = 5t

<u>We can set up an equation to represent the required scenario thus</u> :

Emily's distance = Lucy's distance + 90

5t = 2t + 90

We solve for t

<em>Collect like terms</em> :

5t - 2t = 90

3t = 90

Divide both sides by 3 to isolate t

t = 90/3

t = 30

Therefore, Emily will catch up with Lucy after 30 seconds

Learn more :brainly.com/question/13218948

8 0
3 years ago
Other questions:
  • Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a ra
    5·1 answer
  • Sasha Story's salary for a four week period in July was $5,824. What was her weekly salary?
    14·2 answers
  • What is the midpoint of a segment shown below?
    6·2 answers
  • Consider a population of size N = 100 with the three individual mutants with relative growth rate rA = 2, rB = 1.01, and rC = 0.
    9·1 answer
  • 0.25k+1.5-k-3.50.25k+1.5−k−3.5
    5·1 answer
  • HelPPPPP PLSSSSSSSSSSSSSSSSSSSSSSSS page 109 :((((((((((((((((((( ty!&lt;333
    10·1 answer
  • What is 10/5.5 simplified
    9·2 answers
  • What will be the result of substituting 2 for x in both expressions below?
    8·2 answers
  • Sum of -4/5 and -5/12. please answer.​
    8·1 answer
  • The depth of water at a dock can be modeled as y = 3 sin (7x) + 7. At
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!