Answer:

Step-by-step explanation:
Volume of cone = 90 cm³
Volume of cylinder = ?
<u>Always remember:</u>
Volume of cylinder = 3 × volume of cone
Volume of cylinder = 3 × 90
Volume of cylinder = 270 cm³
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The total number of alphabets are 26.
The total number of vowels are 5.
Th repetition is allowed.
The possible outocme for all to be vowels are,


The total outcome is,

Therefore, the probability that all 4 will be vowels ,


The probability is 0.137 %.
Answer: See attached
Step-by-step explanation:
First we need to find the heigh of the soda can be rearanging the volume formula,

. We can make that

We know that V is 36 and radius is half of the diameter, so radius is 2.


h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is

R is 2 again and h is 2.87


12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
Hi there!
We can begin by solving the inequality using the positive and negative terms:
3y - 1 > 5
Add 1 to both sides:
3y > 6
Divide both sides by 3:
y > 2
Now, solve the negative:
-(3y - 1) > 5
Distribute the -1:
-3y + 1 > 5
Subtract 1 from both sides:
-3y > 4
Divide both sides by -3. REMEMBER to flip the sign.
y < -4/3
'y' has to be LESS than -4/3 and greater than 2, so:
y < -4/3, y > 2