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Butoxors [25]
2 years ago
5

What is the exact volume of this cone?

Mathematics
1 answer:
Studentka2010 [4]2 years ago
5 0

Answer:

  (b)  80/3π in³

Step-by-step explanation:

The volume of a circular cone is given by ...

  V = 1/3πr²h . . where r is the radius (half the diameter) and h is the height

Your cone has r = 4 inches and h = 5 inches, so its volume is ...

  V = (1/3)π(4 in)²(5 in) = 80/3π in³

The volume of the cone is exactly (80/3)π cubic inches.

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The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must
Natalka [10]

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

--

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

7 0
3 years ago
The diameter of Mercury is approximately 4.9×10^3 kilometers.
Aleks [24]
Hi!

I'm quite sure the answer should be 24.
7 0
3 years ago
Read 2 more answers
one recent morning the temperature rose 8 degrees Fahrenheit between sunrise and 10:00 AM. If the temperature at 10:00 AM was 55
nika2105 [10]

Answer:47

Step-by-step explanation:55-8

8 0
3 years ago
Order the following numbers written in scientific notation from greatest to least: 3.9 × 105, 6.1 × 103, 9.3 × 105, 1.6 × 103 A.
Licemer1 [7]

The numbers are:

3.9 × 105 = 409.5

6.1 ×103 = 628.3

9.3 × 105 = 976.5

1.6 × 103 = 164.8

Arranging from greatest to least and in scientific notation form gives:

9.3 × 105 , 6.1 × 103 , 3.9 × 105 , 1.6 × 103

*(Seems like there is no correct answer from the choices given there).

5 0
3 years ago
Read 2 more answers
Help please thanks :)
Gre4nikov [31]

Answer:

the third one down, there is no gap in the data set

Step-by-step explanation:

ill be here all day

8 0
3 years ago
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