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3 years ago

8

if the base area of a cylinder is 153.86 square centimeters and the height is 5 centimeters determine the volume of the cylinder

1 answer:

Natasha_Volkova [10]3 years ago

7 0

Answer:

the answer is V≈769.3cm³

Step-by-step explanation:

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For any positive integer n, prove that n^3-n is divisible by 6.please answer

ikadub [295]

Answer:

yes it is true

Step-by-step explanation:

if we take n=2 then

2°3-2=8-2=6

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2 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

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3 years ago

If Duane adds 230 mL of milk to the 0.4 L of milk in the pitcher, how many mL of milk will be in the pitcher? How many L?

Helen [10]

There is 430 mL , and 0.43 L

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2 years ago

Please someone help me with this please

Elodia [21]

Help u with what I need to know what u need help on

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2 years ago

Express 5.412 hours to the nearest minute

Agata [3.3K]

Answer:323.72

Step-by-step explanation:

Begin by multiplying 60 by 5 hours.

Then 60 minutes by 0.412

8 0

3 years ago

Read 2 more answers