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2 years ago

A cone has a slant length of 5 and a diameter of 4. What is the volume of the cone? Use π ≈ 3.14.

Mathematics

2 answers:

Olegator [25]2 years ago

3 0

Answer:

V = 19.19 cubic units

None of the options are correct.

Step-by-step explanation:

Volume of a cone is given as;

V = ⅓πr²h

Now, we are given;

diameter = 4 units

Thus radius;r = diameter/2 = 4/2 = 2 units

I have attached an image to show the diagram of the cone.

Now, to find the height (h), we know the radius(r) and we know the slant length(l) . So we can use Pythagoras theorem to find the height.

From Pythagoras theorem;

r² + h² = l²

Where l is the hypotenuse or the slant side while "r" is the radius of the cone while the height will be "h"

Thus;

2² + h² = 5²

h² = 5² - 2²

h² = 25 - 4

h² = 21

h = √21

h = 4.5826 units

So height (h) = 4.5826 units

Volume of cone;V = ⅓πr²h

We are told that π = 3.14

Thus;

V = ⅓ x 3.14 x 2² x 4.5826

V = 19.19 cubic units

Gennadij [26K]2 years ago

3 0

Answer:A on edge

Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

ou have two parents, four grandparents, eight great-grandparents, and so forth. (a) If all your ancestors were distinct, what wo

Maslowich

Answer:

Part A:

$2^{40}-2\\=1.0995*10^{12} ancestors$

Part B:

Generations Age=25*39=975 years

Part C:

Some ancestors on different branches of the family tree must be the same.
There could not have been 39 generations in my line of ancestry.

Step-by-step explanation:

Given Data:

Two Parents, Four Grand Parents, Eight great Grand Parents.

Generation=39

Solution:

Part A:

From given data Following series is made:

$2+2^2+2^3+.........+2^{39}$

Now, Above series will become:

$2[1+2+2^2+......+2^{38}]$

From geometric Sequence:

$2[\frac{2^{38+1}-1}{2-1} ]$

$2^{40}-2\\=1.0995*10^{12} ancestors$

Part B:

Generations Age=years*Number of generations

Generations Age=25*39=975 years

Part C:

Number of people lived= 10^11

Ancestors= $1.0995*10^{12} ancestors$

$10^{11}$

It means ancestors are not distinct, it means:

Some ancestors on different branches of the family tree must be the same.
There could not have been 39 generations in my line of ancestry.

5 0

2 years ago

Allowance $10 Earn $18 Spend $3.28, $7.15, and $9.54 Save?

julsineya [31]

Answer:

8.03

Step-by-step explanation:

10+18 = 28

28 - 3.28 - 7.15 - 9.54 = 8.03

4 0

2 years ago

Which table of values could be generated by the equation 10x + 5y = 15?

Ad libitum [116K]

Write the given equation AS FOLLOWS:
10x + 5y = 15
5y = 15 - 10x
Divide through by 5.
y = 3 - 2x

Test x=0: y = 3 - 2*0 = 3 => (0,3) Correct for B
Test x=1:. y = 3 - 2*1 = 1 => (1,1) Correct for B
Test x=2: y = 3 - 2*2 = -1 => (2,-1) Correct for B

Answer: B

3 0

2 years ago

What is the area of the base of the cone below?

frutty [35]

Given:

Given that the height of the cone is 12 ft.

The volume of the cone is 90 ft³

We need to determine the area of the base of the cone.

Area of the base of the cone:

The area of the base of the cone can be determined using the formula,

$V=\frac{1}{3} \pi r^2 h$