Question

A cone is placed inside a cylinder, as shown below. They have the same height and diameter. About how much space is inside the cylinder but outside the cone?
diameter is 10 FT
Height is 12 FT​

Answer 1

The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

What is a cone?

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

We know the volume of the cylinder is given:

$\rm V = \pi r^2 h$

r = 10/2 = 5 FT

h = 12 FT

$\rm V = \pi (5)^2 \times 12$

V = 300π cubic FT

Volume of the cone:

$\rm v = \dfrac{\pi r^2 h}{3}$

$\rm v = \dfrac{\pi (5)^2 \times 12}{3}$

v = 100π cubic FT

Space is inside the cylinder but outside the cone = 300π - 100π

= 200π cubic FT

= 628.32 cubic FT

Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

Learn more about the cone here:

brainly.com/question/16394302

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