Answer:
3 cylinder will fill 9 cones with water
Step-by-step explanation:
This problem bothers on mensuration of slides, cone and cylinder
We know that the
Volume of a cylinder = πr²h
Volume of a cone = 1/3(πr²h)
Given that both cylinder and cone has same height and radius
From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume
So if 1 cylinder will fill 3 cones
Then 3 cylinders will fill x cones
By cross multiplication we have
x= 3*3cones
x= 9 cones
Hence 3 cylinder will fill 9 cones with water
Answer:
9 cones
Step-by-step explanation:
The formula to find a volume of a cylinder is:
V1 = pi*r^2*h
Where r is the base radius and h is the height
The formula to find a volume of a cone is:
V2 = (1/3)*pi*r^2*h
So, if they have the same base radius and same height, we have that:
V1/V2 = 1/(1/3) = 3
The volume of the cylinder is 3 times bigger than the volume of the cone, so each cylinder of water can fill 3 cones.
Is Dennis has 3 cylinders, he is able to fill 3*3 = 9 cones with water.
