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1 year ago

What is the exact volume of the cone? 28π in³ 563π in³ 1963π in³ 196π in³.

Mathematics

1 answer:

Aneli [31]1 year ago

3 0

The exact volume of the considered cone is given by: Option C: $\dfrac{196}{3} \pi \: \rm in^3$

<h3>How to find volume of a right circular cone?</h3>

Suppose that the radius of the base of the considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

$V = \dfrac{1}{3}\pi r^2 h \: \rm unit^3$

Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The missing figure of the cone is attached below.

The height of the considered cone = 4 inches
The radius of the base of the cone = 7 inches.

Thus, the volume of the considered cone is given by:

$V = \dfrac{1}{3} \times 7 ^2 \times 4 \times \pi = \dfrac{196\pi}{3} \: \rm in^3$

Thus, the exact volume of the considered cone is given by: Option C: $\dfrac{196}{3} \pi \: \rm in^3$

Learn more about volume of the cone here:

brainly.com/question/26093363

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Somebody please help me with this question!

marta [7]

Answers:

P(A) = 7/12

P(B) = 1/2

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

Explanation:

To see how I calculated P(A), check out this link to this very similar question

brainly.com/question/27669586

--------------------

Now to calculate P(B)

If a number is divisible by 2, then the number is a multiple of 2.

In other words, the number is even.

Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.

Here's a further breakdown

1 copy of "2"
3 copies of "4"
5 copies of "6"
5 copies of "8"
3 copies of "10"
1 copy of 12

Side note: We have nice symmetry going on.

There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.

P(B) = 18/36 = (1*18)/(2*18) = 1/2

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2 years ago

Can you guys please help. I really don't know how to solve this

Nonamiya [84]

The inequalities that can be used to represent this problem are x < 0 or x > 5. On the number line, you will want to place an open circle on both 0 and 5. The open circle signifies that x is not equal to these values, but is greater or less than. On the open circle on 0, draw an arrow pointing left, toward the negative values. On the open circle on 5, draw an arrow pointing right, toward the positive values.

Hope this helps!! :)

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3 years ago

Find the HCF of<br> x^2y and x

3241004551 [841]

The highest common factor of $x^2 y$ and $x$ is $\boxed{x}$

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1 year ago

HELPPP THIS IS MY LAST ONE AND ILL GIVE YOU BRAINLIEST MWAHH

kirill [66]

Answer:

B. 36

Step-by-step explanation:

6 + 30

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2 years ago

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that

Vinvika [58]

Answer:

Population in 1998 year = 6.22 billion

Step-by-step explanation:

Given:-

- The population in year 1987, Po = 5 billion

- Growth rate, r = 2%

- World population follows an exponential growth model

Find:-

The projected world population in 1998.

Solution:-

- The exponential growth model is mathematically expressed as:

Population in x year = Po* ( 1 + r/100)^( x - xo )

Where, xo: The base year.

- Plug in the values and solve for the projected population in year 1998:

Population in 1998 year = 5,000,000,000* ( 1 + 2/100)^( 1998 - 1987 )

Population in 1998 year = 5,000,000,000* ( 1 + 0.02)^( 11 )

= 5,000,000,000* ( 1.02 )^( 11 )

= 6.22 billion

8 0

2 years ago

Read 2 more answers