All categories

2 years ago

Find the volume of the cone shown as a decimal rounded to the nearest tenth. 22m 12m

Mathematics

1 answer:

Jobisdone [24]2 years ago

6 0

Answer:

829.4 m³

Step-by-step explanation:

Volume of cone:

diameter = 12 m

r = 12 ÷ 2 = 6 m

h = 22 m

$\sf \boxed{Volume \ of \ cone =\dfrac{1}{3} \pi r^2h}$

$= \dfrac{1}{3}*\dfrac{22}{7}*6*6*22\\\\=\dfrac{22}{7}*2*6*22\\\\=\dfrac{5808}{7}\\\\= 829.4 \ m^3$

You might be interested in

Give an equation that goes through the line 3,-1 that is parallel to 6x-5

allochka39001 [22]

Lines that are parallel have the same slope, and the given line (y = 6x - 5) has a slope of 6; we are looking for a line with a slope of 6.
To form an equation for a line, you need to know the y-intercept (the point at which the line intersects the y-axis). The first step to finding the y-intercept is to plot the given point. After you've done that, count six units up (this is our slope) and one to the right; plot the point. Lastly, draw the line by connecting the points and see where the line intersects the y-axis.
My graph shows that the line intersects the y-axis at -17. All that's left now is to put our information together into an equation. I'm assuming the problem wants the equation in slope-intercept form; slope-intercept form is y = mx + b where m is the slope and b is the y-intercept, so it would look like this:
y = 6x -17

Hope this helps.

8 0

3 years ago

Read 2 more answers

Show that 155 can be express as the sum of a power of 2 and a cube number?

son4ous [18]

$\bf \underset{155-128}{155-2^7}= 27\qquad \qquad therefore\qquad 2^7+27=155\implies 2^7+3^3=155$

3 0

3 years ago

Select all systems that are equivalent to this system:

JulsSmile [24]

Answer:

can yhu see the answer i put?

Step-by-step explanation:

3 0

2 years ago

Uma rede de supermercados fornece a seus clientes um cartão de crédito cuja identificação é formada por 3 letras distintas (dent

Vitek1552 [10]

Answer:

The correct option is (A) 33,600.

Step-by-step explanation:

The question is:

A supermarket chain provides its customers with a credit card whose identification is formed by 3 different letters (among 26), followed by 4 different digits. A given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1. The total number of distinct cards offered by such supermarket chain for that city is A) 33600 B) 37800 C) 43200 D ) 58500 E) 67600

Solution:

The general format of the credit cards provided by a supermarket chain is as follows:

X X X # # # #

Here, X represents letters and # represents numbers.

All the three letters have to different and all the four numbers have to different, i.e. no repetition allowed.

It is provided that a given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1.

Then the general format of this cities credit cards is as follows:

X X L # # 1 0

Now there are two spaces left for letters and 2 for numbers.

As there are no repetition allowed the two letter spaces can be filled by:

Number of ways to select 2 letters = 25 × 24 = 600

And the number of ways to select two numbers when there is no repetition allowed is:

Number of ways to select 2 numbers = 8 × 7 = 56

Compute the total number credit cards available at the supermarket as follows:

Total number credit cards = 600 × 56 = 33600

Thus, the total number of distinct cards offered by such supermarket chain for that city is 33,600.

The correct option is (A).

3 0

3 years ago

The additive inverse of -7

OverLord2011 [107]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers