All categories

3 years ago

A cone-shaped funnel has a diameter of 3.6 inches and a height of 3 inches. What is the volume of the funnel? Use 3.14 for pi.

Mathematics

2 answers:

ivanzaharov [21]3 years ago

8 0

Answer:
V = 10.18in.³

r = 1.8in.
h = 3

V = $\frac{1}{3}$ $\pi$ (1.8)²(3)

WINSTONCH [101]3 years ago

4 0

Answer: $10.1736\text{ inches}^3$

Step-by-step explanation:

Given: The diameter of the cone = 3.6 inches

Then the radius of the cone = $\dfrac{3.6}{2}=1.8\text{ inches}$

Height of the cone = 3 inches

The volume of cone is given by :-

$V=\dfrac{1}{3}\pi r^2h\\\\\Rightarrow V=\dfrac{1}{3}(3.14)(1.8)^2(3)\\\\\Rightarrow V=10.1736\text{ inches}^3$

Hence, the volume of the cone = $10.1736\text{ inches}^3$

You might be interested in

How many solutions does the nonlinear system of equations graphed below have?

Artemon [7]

I think its 4 because the lines intersect 4 times but its been too long since ive done nonlinear equations

4 0

3 years ago

Read 2 more answers

Between which two tenths is the decimal approximation of √7?

RUDIKE [14]

Answer:

2.6 and 2.7

Step-by-step explanation:

The actual square root of 7 is 2.64 and that is between 2.6 and 2.7.

4 0

2 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

3 years ago

2(x+2) - 3(x-3)=x+7

babunello [35]

Step-by-step explanation:

Let's solve your equation step-by-step.

2(x+2)−3(x−3)=x+7

Step 1: Simplify both sides of the equation.

2(x+2)−3(x−3)=x+7

(2)(x)+(2)(2)+(−3)(x)+(−3)(−3)=x+7(Distribute)

2x+4+−3x+9=x+7

(2x+−3x)+(4+9)=x+7(Combine Like Terms)

−x+13=x+7

Step 2: Subtract x from both sides.

−x+13−x=x+7−x

−2x+13=7

Step 3: Subtract 13 from both sides.

−2x+13−13=7−13

−2x=−6

Step 4: Divide both sides by -2.

−2x

−2

−6

−2

x=3

Answer:

x=3

8 0

3 years ago

Algebra public opinion polls reported in newspapers are usually given with a margin of error. for example, a poll with a margin

sweet-ann [11.9K]

Answer:

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - 6.3% * 51% =47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + 6.3% * 51% = 54.213%

Solution:

Margin of error: E=6.3%

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - E * 51%

m=51% - 6.3% * 51%

m=51% - 51% * 6.3 / 100

m=51% - 3.213%

m=47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + E * 51%

M=51% + 6.3% * 51%

M=51% + 51% * 6.3 / 100

M=51% + 3.213%

M=54.213%

8 0

3 years ago