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3 years ago

How do you calculate the volume of a cone when given the height and diameter? Describe the steps used to solve.

2 answers:

8 0

You can fit three cones in a cylinder, so the volume of cone is 1/3 that of cylinder.
Vcylinder = pi r^2 h
Vcone = 1/3 * pi r^2 h

fiasKO [112]3 years ago

7 0

First find the radius by taking half the diameter. Use the radius to find the base area by using the formula for the area of a circle. Find the product of the base area and height, and then take one-third of the product.

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You are in the electronics store purchasing a video game that retails for 45$ the sales tax charged on the game is 2.70 what is

Katyanochek1 [597]

Answer:

Step-by-step explanation:

let 't' = tax rate

45t = 2.7

t = 2.7/45

t = .06

8 0

2 years ago

For every 4 students, 3 like peanut butter and jelly sandwiches. If there are 12 students, how many like peanut butter and jelly

amid [387]

Answer:

9 students

Step-by-step explanation:

3/4 students like pbj sandwiches

4 * 3 = 12

3 * 3= 9

9/12

9 students like pbj sandwiches

5 0

3 years ago

Read 2 more answers

What is the equation of this trend line?

solmaris [256]

Equation of this line is K = -2J + 28

<u>Step-by-step explanation:</u>

Step 1:

The equation can be written in slope intercept form which is y = mx + b

Step 2:

Calculate slope of the line, m = (y2 - y1)/(x2 - x1)

⇒ m = (24 - 20)/(2 - 4) = 4/-2) = -2

Step 3:

Find y-intercept of the line

⇒ b = 28

Step 4:

Substitute values in the equation

⇒ K = -2J + 28

5 0

3 years ago

A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0

3 years ago

The Ohio Department of Agriculture tested 203 fuel samples across the state

Rus_ich [418]

Answer:

$\hat p = \frac{14}{105}= 0.133$

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

$0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185$

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: