A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)

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A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)

Mathematics
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  • phi
can you find the volume of the cylinder using V= area of base times height ?
no im really bad at geomtry
  • phi
a cylinder (looks like a can) has a circle for its base. can you find the area of a circle that has a radius of 5?

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  • phi
Most people learn how to find the area of a circle. It is a very famous formula.
The volume of the cylinder is 1256 cm^3. The volume of the smaller cone is 200.96 cm^3. If the cone is inside the cylinder it is taking up some of the air space inside. Some, but not all. To find out the air space it is NOT taking up, subtract the volume of the cone from the volume of the cylinder.
1256-200.96=1055.04 cm^3 is the air space left.
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