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3 years ago

What is the volume of a cone with a height of 27 cm and a radius of 13 cm? Round your answer to the nearest tenth

Mathematics

2 answers:

scoray [572]3 years ago

8 0

V=1/3 πr²h=
1/3 π 169 * 27=
π*169*9
4778.4cm³

babunello [35]3 years ago

7 0

Answer: $4778.4\text{ cm}^3$

Step-by-step explanation:

Given: Radius of cone : r= 13 cm

Height of cone : h= 27 cm

The formula to find the volume of a cone is given by :-

$V=\dfrac{1}{3}\pi r^2 h$

i.e. $V=\dfrac{1}{3}(3.14159265359)(13)^2 (27)$

$\Rightarrow\ V=4778.36242611\approx4778.4\text{ cm}^3$

Hence, the volume of the cone = $4778.4\text{ cm}^3$

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Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1

NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0

3 years ago

If the 102,619 residents of a city are divided into 57 equal groups, then some residents don't fit into a group.

valentinak56 [21]

Answer:

1,800, 19

Step-by-step explanation:

102,619÷57=1800 (nearest one)

102,619-1800×57=19

3 0

3 years ago

The line plot shows the weight of the bags of beans.what is the average weight of the bags.

Setler79 [48]

Answer:

1/2

Step-by-step explanation:

So you have 12 bags total.

2 are 1/6 so their total weight is 1/3

2 are 1/3 so their total weight is 2/3

3 are 1/2 so their total weight is 3/2

4 are 2/3 so their total weight is 8/3

1 is 5/6 so their total weight is 5/6

Now add all of these up:

1/3 + 2/3 + 3/2 + 8/3 + 5/6 = 36/6 = 6

Then divide by the number of bags to get the average weight: 6/12 = 1/2

7 0

4 years ago

For a fair coin, suppose you toss the coin 100 times.

Natasha_Volkova [10]

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

$\mu = np = 100(0.5) = 50$ .

$\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5$

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{66.5 - 50}{5}$

Z = 3.3

Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

6 0

2 years ago

Just help me already plzzzzzzzzzzzz

laila [671]

Answer:

140-80= 60

60/5=12

so B 12 is the answer

4 0

2 years ago