Camp Ground A has an area of 300 square yards with a maximum capacity of 25 pup tents. Camp Ground B has an area of 480 square y
1 answer:
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We are given Volume of the larger cylinder is = 1600 cubic centimeters.
Height of the larger cylinder = 16 cm.
We know formula of volume of a cylinder V=, where r is the radius of cylinder, h is the height of the cylinder.
Plugging value of V and h of larger cylinder, we get
Dividing both sides by 16, we get
Taking square root on both sides, we get
r=10.
Therefore, radius of the larger cylinder is 10 cm.
We are given cylinders are similar .
<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>
Therefore, we can setup a proportion:
Let us take radius of small cylinder is x.
Multiplying both sides by 10, we get
x=2.50.
Therefore, radius of the small cylinder = 2.5 cm.
Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get
Therefore, correct option is 25 pi cm^3.
Answer:
The required inequality is: 12 ≤ 3x < 21
Step-by-step explanation:
We are given: three times a number is greater than or equal to 12 and less than 21
We need to answer following questions:
1) The inequality translated in numerical form
Let number = x
12 ≤ 3x < 21
2) Your work solving the inequality
We need to find value of x. Divide the inequality by x
4 ≤ x < 7
3) The solution graphed on a number line
It is shown in figure attached.
4) The solution in set notation
The set notation is: Considering x belongs to natural numbers N
{∀ x|x∈N, 4 ≤ x < 7}
5) The solution in interval notation
The interval notation is: [4,7)
because we have 4 less than equal to x and x is less than 7
