All categories

3 years ago

What is the volume of this cylinder?

Mathematics

1 answer:

Anastasy [175]3 years ago

7 0

Answer:

150.72 mm^3

Step-by-step explanation:

volume = (pi)(r^2)h

volume = 3.14 * (4 mm)^2 * 3 mm

volume = 3.14 * 16 mm^2 * 3 mm

volume = 150.72 mm^3

You might be interested in

In 1997 there were 11,012 licensed drivers over age 55 involved in fatal crashes. There

san4es73 [151]

Answer:

Step-by-step explanation:

No because there could simply be more older drivers on the road.

8 0

2 years ago

Angle ABC is taken by a dilation with the center P and scale factor 3 to angle A'B'C'

xxTIMURxx [149]

Answer: 21

Step-by-step explanation: We are given that angle ABC is dilated with center P.

Scale factor=3

Angle A'B'C' is formed after dilation of angle ABC.

Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.

After dilation, the size of figure changes.

The initial figure and the figure obtained after dilation are similar in shape.

When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.

The measure of angle ABC=21'

After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'

Because the shape does not change in dilation transformation.

8 0

3 years ago

The pink paper for the book Giver

Leni [432]

I think its the promise to not share it with anyone idk

4 0

3 years ago

You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per

ANTONII [103]

Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

$a = p(1 + \frac{r}{n} ) {}^{nt}$

where p is the original amount.
R is the amount of percentage compounded
N is amount of times compounded per year.
T is how long the interest last.

P is 400,00p

T is 12% or 0.12

N is 4 since it is compounded quarterly

T is 5.

Plug the values in

$400000(1 + \frac{0.12}{4} ) {}^{20}$

Ypu get

$722444.49386776

6 0

2 years ago

A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of a tree and estimates that the

nalin [4]

The height of the tree given the depression angle to the top and the base

is given by the tangent relationship of the two given angles.

Correct response:

The height of the tree is approximately <u>79.58 feet</u>

<h3 /><h3>Methods used for the calculation of the height of the tree</h3>

Given:

Altitude of the hot air balloon = 800 feet

Angle of depression to top of tree = 43°

Angle of depression to base of tree = 46°

Required:

Height of tree

Solution:

The horizontal distance of the balloon from the tree is given as follows;

$\displaystyle tan(46^{\circ}) = \frac{Altitude \ of \ balloon}{Horizontal \ distance \ from \ tree} = \mathbf{\frac{800 \, feet}{Horizontal \ distance \ from \ tree}}$

Therefore;

$\displaystyle Horizontal \ distance \ of \ balloon \ from \ tree = \frac{800 \ feet}{tan(46^{\circ})}$

$\displaystyle tan(43^{\circ}) = \mathbf{\frac{Height \ of \ balloon \ above \ tree}{\dfrac{800 \, feet}{tan(46^{\circ})} }}$

Therefore;

$\displaystyle Height \ of \ balloon \ above \ tree = tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})}$

Height of tree = Altitude of balloon - Height of balloon above tree

Therefore;

$\displaystyle Height \ of \ tree = 800 \, feet - tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})} \approx \underline{ 79.58 \, feet}$

Learn more about angle of elevation and depression here:

brainly.com/question/1978238

4 0

2 years ago