11.4. Cylinders http://www.ck12.org
- If the volume of a cylinder is 484πin^3 and the height is 4 in, what is the radius?
- Find the volume of the solid below.
Answers:
1.V=π 62 ( 15 ) = 540 πunits^3
- Substitute what you know to the volume formula and solve forr.
484 π=πr^2 ( 4 )
121 =r^2
11 =r- This solid is a parallelogram-based prism with a cylinder cut out of the middle. To find the volume, we need to
find the volume of the prism and then subtract the volume of the cylinder.
Vprism= ( 25 · 25 ) 30 = 18750 cm^3
Vcylinder=π( 4 )^2 ( 30 ) = 480 πcm^3The total volume is 18750− 480 π≈ 17242. 04 cm^3.
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