Question

VERY IMPORTANT! PLEASE ANSWER FULLY

Answer 1

Answer:

3 cones are required to fill the cylinder.

Vcyl = $\pi r^2 h$ and Vcone = $\frac{1}{3} \pi r^2 h$

The volume of cylinder is 3 times the volume of cone having same base and height.

Step-by-step explanation:

Consider the provided information.

Now we need to find the number cones to fill the cylinder.

The volume of a cone is:

$\frac{1}{3} \pi r^2 h$

The volume of cylinder is:

$\pi r^2 h$

To find the the number cones to fill the cylinder simply divide the volume of cylinder by volume of cone as shown:

$\frac{\pi r^2 h}{\frac{1}{3} \pi r^2 h}=3$

Hence 3 cones are required to fill the cylinder.

The formula for the volume of each shape is:

Vcyl = $\pi r^2 h$ and Vcone = $\frac{1}{3} \pi r^2 h$

The relationship between the volume of the cylinder and the volume of the cone is: The volume of the cone is 1/3 of a cylinder that has the same base and height or the volume of cylinder is 3 times the volume of cone having same base and height.

Answer 2

Volume of cylinder= π•r•r•h
volume of cone= π•r•r•h
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3

it takes 3 cones to fill a cylinder if bot shape have an equal base and equal height.