A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
2 answers:
Answer:
The correct option is 3.
Step-by-step explanation:
It is given that the volume of a cone is 12 cubic inches.
The volume of a cone is
Put V₁=12 in the value equation.
Multiply both sides by 3.
.... (1)
Where, r is radius of base, h is height.
It is given that the cone fits exactly inside of the cylinder. It means the height and the radius of the cylinder is same.
The volume of a cylinder is
Using equation (1) we get
The volume of cylinder is 36 cubic inches. Therefore the correct option is 3.
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Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.
Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.
