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3 years ago

What is the volume of the cone? Use π ≈ 3.14.

Mathematics

2 answers:

barxatty [35]3 years ago

6 0

the following formula is used to find the volume of a cone

V - volume = πr²h/3

where π = 3.14, r - radius and h - height

the height hasnt been directly given

we can find height using Pythogoras theorem for the right angled triangle given

4² + h² = 5²

16 + h² = 25

h² = 25 - 9

h² = 9

h = 3

height = 3

diameter is 4, therefore radius - diameter / 2 = 4/ 2 = 2

radius = 2

substituting values in the volume equation

V = 3.14 x 2² x 3 /3

= 12.56

volume is 12.56 cubic units

Ivan3 years ago

5 0

I hope this helps you

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A number cube with faces labeled from 1 to 6 will be rolled once.

tresset_1 [31]

Question:

A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.

Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.

If there is more than one element in the set, separate them with commas.

Answer:

$S = \{1,2,3,4,5,6\}$

$Greater2 = \{3,4,5,6\}$

Step-by-step explanation:

Given

A roll of a 6 sided number cube

Solving (a): The sample space

This implies that we list out all number on the number cube.

So:

$S = \{1,2,3,4,5,6\}$

Solving (b): Outcomes greater than 2

This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.

So:

$Greater2 = \{3,4,5,6\}$

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2 years ago

PLEASE HURRY IM TIMED!!!

andriy [413]

Answer-

A. Brandon’s sound intensity level is 1/4th as compared to Ahmad’s.

Solution-

Given that, loudness measured in dB is

$L=10\log \frac{I}{I_0}$

Where,

I = Sound intensity,

I₀ = 10⁻¹² and is the least intense sound a human ear can hear

Given in the question,

I₁ = Intensity at Brandon's = 10⁻¹⁰

I₂ = Intensity at Ahmad's = 10⁻⁴

Then,

$L_1=10\log \frac{I_1}{I_0}=10\log \frac{10^{-10}}{10^{-12}}=10\log \frac{1}{10^{-2}}=10\log 10^{2}=2\times10\log 10=20$

$L_2=10\log \frac{I_2}{I_0}=10\log \frac{10^{-4}}{10^{-12}}=10\log \frac{1}{10^{-8}}=10\log 10^{8}=8\times10\log 10=80$

$\therefore \frac{L_1}{L_2} =\frac{20}{80} =\frac{1}{4}$

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2 years ago

This is the last one!

NNADVOKAT [17]

Answer:

"Some integers are irrational numbers" False

"Some integers are not whole numbers" True

"No irrational numbers are whole numbers" True

"All rational numbers are whole numbers" False

Step-by-step explanation:

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2 years ago

A necklace usually sells for 18, but is onsale for 15% off. What is the sale price of the necklace?

I am Lyosha [343]

Answer:

15.3

Step-by-step explanation:

18-(18×(15%))= 15.3

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2 years ago

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Inga [223]

Answer:

the answer is C

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Step-by-step explanation:

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2 years ago