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Which explanation can be used to informally derive the formula for the volume of a cone?.

Elis [28]

The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

<h3>The formula for the volume of a cone</h3>

If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.

This makes a difference in the volume of the two objects.

Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.

Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Learn more about Cone:

brainly.com/question/1315822

6 0

2 years ago

Calculate the middle number between 1-5 and 7.1

prohojiy [21]

Answer:

-4

Step-by-step explanation:

1-5=-4 (7.1+1)-5=3.1

6 0

3 years ago

Read 2 more answers

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em> = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago

Please asap<br>for 10 points!

kari74 [83]

<h3>Given:</h3><h3>Large cone:</h3>