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4 years ago

What is the volume of the cone below?

Mathematics

2 answers:

In-s [12.5K]4 years ago

5 0

Hey there! :)

Answer:

V = 3408 units³

Step-by-step explanation:

Given:

r = 12

h = 71

Volume of a cone: V = 1/3 (bh) where b = πr²

Calculate the area of the base:

A = 12²π

A = 144π units²

Plug this into the formula for the volume of a cone:

V = 1/3 (144π · 71)

V = 1/3 (10224)

V = 3408 units³

kirill115 [55]4 years ago

5 0

Answer:

B . 3408 π units^3

Step-by-step explanation:

$h = 71\\r = 12\\V =?\\V = \frac{1}{3} \pi r^2 h\\V = \frac{1}{3} \pi \times 12^2 \times 71\\V = \frac{1}{3} \pi \times 144 \times 71\\V = 3408 \pi -units^3$

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Question 12(Multiple Choice Worth 1 points)

rusak2 [61]

Answer:

$\frac1{25}$

Step-by-step explanation:

Hello!

Let's use a couple of exponent rules:

$\frac{a^x}{a^b} = a^{x - b}$
$a^{-x} = \frac{1}{a^x}$

Let's utilize the first rule and simplify the fraction.

<h3>Simplify</h3>

$\frac{5^4}{5^6}$
$5^{4 - 6}$
$5^{-2}$

Now, we can utilize the second exponent rule, as we have a base to the power of a negative number.

<h3>Simplify</h3>

$5^{-2}$
$\frac1{5^2}$
$\frac1{25}$

The answer is option 1, $\frac{1}{25}$ .

7 0

2 years ago

Due in 1 hour, plz help

snow_lady [41]

Answer:

1. 12/1= rate of change

Step-by-step explanation:

1 mile= 30 seconds

(1,30)

6 miles= 1 1/2 minutes

6 miles=90seconds

(6,90)

Formula: y2-y1/x2-x1

90-30/6-1

60/5

12/1= rate of change

hope its right

3 0

3 years ago

6[5 x (41 - 36) - (8 + 14)]

Otrada [13]

Answer:

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3 years ago

Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal:

DochEvi [55]

We are given

$\frac{(4.1\times 10^{3})(2.8\times 10^{-7})}{(3.1\times 10^{-5})}$

We can move like terms altogether

$\frac{(4.1\times 10^{3})(2.8\times 10^{-7})}{(3.1\times 10^{-5})}=\frac{4.1\times 2.8}{3.1}\times \frac{10^{3}\times 10^{-7}}{10^{-5}}$

now, we can use property of exponent

$a^m\times a^n=a^{m+n}$

$=\frac{4.1\times 2.8}{3.1}\times \frac{10^{3-7}}{10^{-5}}$

We can use another exponent property

$\frac{a^m}{a^n} =a^{m-n}$

so, we get

$=\frac{4.1\times 2.8}{3.1}\times 10^{3-7+5}$

$=\frac{4.1\times 2.8}{3.1}\times 10^{1}$

$=3.70323\times 10^{1}$

So, the result in scientific notation is

$=3.70323\times 10^{1}$ ..........Answer

So, the result as a decimal is

$=37.0323$ .............Answer

8 0

4 years ago

The distribution of the number of hours people spend at work per day is unimodal and symmetric with a mean of 8 hours and a stan

Wewaii [24]

Answer: 95% of all people work between 7 hours and 9 hours per day and It is true.

Step-by-step explanation:

Since we have given that

Mean = 8 hours

Standard deviation = 0.5 hours

According to Empirical Rule,

at 95% confidence, it lies within 2 standard deviations from the mean

so, lower value is given by

$mean-2\times sd\\\\=8-2\times 0.5\\\\\=8-1\\\\=7\ hours$

upper value is given by

$mean+2\times s.d\\\\=8+2\times 0.5\\\\=8+1\\\\=9\ hours$

Hence, 95% of all people work between 7 hours and 9 hours per day.

Therefore , it is true.

4 0

3 years ago

What is the volume of the cone below?​

What is the volume of the cone below?