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
olasank [31]
3 years ago
11

An ice cream cone has a radius of 4 inches and a height of 9 inches. What is the exact value of the volume of the ice cream cone

?
Mathematics
1 answer:
Nata [24]3 years ago
6 0
<span>π<span>r^2</span></span><span>h/<span>3
this is a formula if it is a right angle cone
</span></span>π(4)^2 (9)/3
exponent, 4^2 then times by π
<span>after times by (9/3)=
≈150.8

I think, double check and see if right</span>
You might be interested in
Convert from rectangular to polar coordinates:Note: Choose r and θ such that r is non-negative and 0 ≤ θ &lt; 2πa. (6,0)b. (9,9/
Anuta_ua [19.1K]

Answer:

The polar coordinates are as follow:

a. (6,2π)

b. (18, π/3)

c. (2√2 , 3π/4)

d. (2, 5π /6)

Step-by-step explanation:

To convert the rectangular coordinates into polar coordinates, we need to calculate r, θ .

To calculate r, we use Pythagorean theorem:

r = \sqrt{ x^{2} +y^{2} } ---- (1)

To calculate the θ, first we will find out the θ '  using the inverse of cosine as it is easy to calculate.

So,    θ '  = cos ⁻¹  (x/r)

If  y  ≥  0  then  θ  =  ∅

If  y  <  0  then  θ  =  2 π  −  ∅

For a. (6,0)

Sol:

Using the formula in equation (1). we get the value of r as:

r = \sqrt{6^{2} + 0^{2}  }

r = 6

And ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (6/6)

∅  =cos ⁻¹   (1) = 2π

As If  y  ≥  0  then  θ  =  ∅

So ∅ = 2π

The polar coordinates are (6,2π)

For a. (9,9/\sqrt{3})

Sol:

r = 9 + 3(3) = 18

and ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (9/18)

∅ = cos ⁻¹   (1/2) = π/3

As  If  y  ≥  0  then  θ  =  ∅

then θ  = π/3

The polar coordinates are (18, π/3)

For (-2,2)

Sol:

r =√( (-2)²+(2)² )

r = 2 √2

and ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (-2/ 2 √2)

∅ = 3π/4

As  If  y  ≥  0  then  θ  =  ∅

then   θ  = 3π/4

The polar coordinates are (2√2 , 3π/4)

For (-√3, 1)

Sol:

r = √ ((-√3)² + 1²)

r = 2

and ∅  = cos ⁻¹  (x/r)

∅  = cos ⁻¹ ( -√3/2)

∅  = 5π /6

As  If  y  ≥  0  then  θ  =  ∅

So  θ  = 5π /6

The polar coordinates are (2, 5π /6)

6 0
2 years ago
you rent a canoe for 5$ per hour.Your cost before the tax is added is 12.50. write and solve an equation to find the total numbe
Basile [38]

Answer: The equation is   5x = 12.50   and  you will have the canoe for 2 and half hours or 2 hours 30 minutes.

Step-by-step explanation:

You rent the canoe for 5 dollars per hour and that can be represented by the expression  5x.  After sometime you paid $12.50 meaning that to find the number of hours that you need the canoe, we need to set 5x to equal 12.50.

5x  = 12.50    Solve for x  by divide both sides by 5.

x = 2.5

This means you will need the canoe for 2 and half hours.

8 0
2 years ago
Solve each equation for p.<br> P+3/m=-1
Otrada [13]

Answer:

P= -m-3

I hope this helps!

3 0
3 years ago
Solve the inequality: -2z - 3 &lt; 5
Ghella [55]

Answer:

z>-4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The graph of a proportional relationship passes through (9, 18) and (1, y). Find y.
spayn [35]

Answer:

2

Step-by-step explanation:

Because it's a proportional relationship and it goes through the point (9, 18) the equation is y = 2x so when x = 1, y = 2.

8 0
3 years ago
Other questions:
  • $559 at 3% for 3 years
    15·1 answer
  • Simplify the expression. (2x^2y)^3
    6·2 answers
  • A sphere has a diameter of 10 inch. What is the volume of the sphere?
    12·1 answer
  • Study the following distribution chart
    7·1 answer
  • What is the unit rate of students to teachers as a fraction
    11·2 answers
  • 0 (2 + 3) + 42 x (5 – 3) =<br> What Does this equal
    7·1 answer
  • How do I convert 1 mile to meters?
    8·1 answer
  • 3a+5b+2c=?<br> a+b=15<br> b+c=14<br> 5b=3b,2b
    13·2 answers
  • The local Farm Market sells peppers at five for $2.25.<br><br> a. Complete the rate table.
    10·1 answer
  • Joy wants to build a rectangular garden he plans to use a side of a river from one side of the garden so he will not place fenci
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!