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Klio2033 [76]
3 years ago
6

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Mathematics
1 answer:
zysi [14]3 years ago
5 0
Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h

The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.

Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³   (remember: volume of a cylinder=πr²h)

Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³
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Kelly rolls two number cubes. Determine the probability of each of the following events.
Alika [10]

Answer:

(a)1/6

(b)1/12

Step-by-step explanation:

Given that the cubes are numbered from 1 to 6.

The possible outcomes are:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Total number of possible Outcomes=36

<u>Part A</u>

Probability that the sum of the number cubes is 7.

The outcomes that sums up to 7 are:

(1,6) (2,5) (3,4) (4,3) (5,2) (6,1)

Number of outcomes=6

Therefore:

P(sum of the number cubes is 7)=6/36=1/6

<u>Part B</u>

The sum of the number cubes is less than 4.

Outcomes in which the sum is less than 4 are:

(1,1) (1,2) (2,1)

Number of outcomes=3

Therefore:

P(sum of the number cubes is less than 4)=3/36=1/12

7 0
3 years ago
Solve 4/5x - 3 3/4x =2 1/2
faust18 [17]
First one subtract 4/5 and 3 3/4 then divide both sides by the number you get from subtracting.
4 0
3 years ago
Please help!! I don’t understand
solmaris [256]

Answer:

A: No positive numbers

Step-by-step explanation:

Hopefully this helps!

5 0
3 years ago
Find the area of the triangle ABC.
DerKrebs [107]

Answer:

24

Step-by-step explanation:

6*8=24

8 0
2 years ago
Find the value of 17C3 <br> 680<br> 12,376<br> 2,380<br> 54
trapecia [35]

Answer:

54 because I don't know I can't explain

7 0
2 years ago
Read 2 more answers
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