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- Find the volume of each cylinder exactly in terms of pi:r = 5 cm, h = 7 cmd = 10 m, h = 3 mr = 1.5 in, h = 4 ind = 14 ft, h = 2.5 ftr = \dfrac{2}{3} yd, h = 9 yd
- Find the missing height, radius or diameter from a cylinder's volume:V = 80\pi\ \text{cm}^3, r = 4 cm. Find h.V = 150\pi\ \text{m}^3, h = 6 m. Find r.V = 63\pi\ \text{in}^3, d = 6 in. Find h.V = 12\pi\ \text{ft}^3, h = 3 ft. Find d.V = 20\pi\ \text{cm}^3, h = 5 cm. Find C.
- Find Diego's mistake in the volume of a can and the correct volume.
- Find the volume of a cookie dough log and of each 2 cm slice.
- Find liters in a hot tub per centimeter of depth and when filled 70 cm deep.
- Find how many jars Hannah can fill from a tub of honey.
- Compare the amount of sauce per dollar in two jars.
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The free lesson teaches it with worked examples and practice problems.
Volume of a cylinder: the lesson ›More Chapter 12 worksheets: Area and volume
- 12.1The apothem of a regular polygon
- 12.2Area of a regular polygon
- 12.3The five regular solids
- 12.4Cavalieri's principle
- 12.5Why the volume formulas hold: dissection, slicing and Cavalieri
- 12.6Surface area of pyramids and cones
- 12.7Surface area of a sphere
- 12.8Solids of revolution
- 12.9Modeling with solids: density and design
- 12.10Volume of a cylinder
- 12.11Volume of pyramids and cones
- 12.12Volume of a sphere