All categories

3 years ago

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Mathematics

2 answers:

marusya05 [52]3 years ago

6 0

Answer

Volume ≈ 141.37cm³

PSYCHO15rus [73]3 years ago

5 0

Answer:

141.3 cm³

Step-by-step explanation:

V=πr2h=π·32·5≈141.37167cm³

You might be interested in

A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon

zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

Applying implicit differentiation, the rate of change is given by:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

In this problem, we have that:

$\frac{dV}{dt} = 500, r = 70$

Hence the rate of change of the radius is given as follows:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$19600\pi\frac{dr}{dt} = 500$

$\frac{dr}{dt} = \frac{500}{19600\pi}$

$\frac{dr}{dt} = 0.0081$

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago

The first day, Brian saw 31 birds and twice as many squirrels as birds. The second day, Brian saw 20 birds and 42 squirrels. Whi

ladessa [460]

Answer: A good estimation would be about 150.

Step-by-step explanation:

To estimate we can round instead of using exact numbers.

First day he saw about 30 birds and twice as many squirrels, meaning about 60 squirrels. This is about 90 total when added together.

Second day he saw 20 birds and about 40 squirrels so about 60 when added together.

Add day one and day two totals for...

90+60=150

8 0

2 years ago

Calculate (228, 432, 320) in two ways: using Euclidean algorithm, and by factorization.

frez [133]

Answer:

Step-by-step explanation:

gcf(432,320,228)=gcf(gcf(432,320),228)

432=320(1)+112

320=112(2)+96

112=96(1)+16

96=16(6)

So the gcf(432,320)=16.

So now we need to find gcf(16,228)

228=16(14)+4

16=4(4)

Therefore,

gcf(432,320, 228)

=gcf(gcf(432,320),228)

=gcf(16, 228)=4

===================================

432=4(108)=4(2)(54)

=4(2)(6)(9)=2(2)(2)(2)(3)(3)(3)

320=4(80)=4(2)(40)=2(2)(2)(4)(10)

=2(2)(2)(2)(2)(2)(5)

228=4(57)=2(3)(38)=2(2)(3)(19)

All three of them have 2*2 in commom, so the greatest common factor is 4.

8 0

3 years ago

Which equation below represents the model shown?

miv72 [106K]

Is there any answer choices or a picture??

4 0

2 years ago

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

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

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

3 years ago