Volume

A cylindrical weather satellite has a diameter of 6 ft and a height of 10 ft.  Which would be the correct formula for determining the volume available for carrying instruments and computer equipment?

• V = 1/3*π*3²*10
• V = π*6²*10
• V = π*3²*10
• V = π*3*10

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the rectangular prism (Hint: pay attention to the units!)

• 36 ft²
• 54 ft²
• 54 ft³
• 18 ft³

What is the volume of the cylinder in terms of π?  (Hint: remember when it asks for volume in terms of π, do NOT type π in your caclulator)

• V = 72π cm³
• V = 24π cm³
• V = 64π cm³
• V = 226.2 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of the square pyramid?

• 45 cm³
• 45 cm²
• 15 cm³
• 15 cm²

What is the volume of the cylinder?

• V = 120.2 cm³
• V = 180.2 cm³
• V = 135.2 cm³
• V = 540.7 cm³

What is the volume of the slanted cylinder? (Hint: remember Cavalieris's principle says you treat the slanted figure just like a regular figure because the cross-sectional areas are the same at every height) 

• V = 37.7 m³
• V = 9.4 m³
• V = 12.6 m³
• V = 3.1 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of the cone in terms of π? (Hint: remember when it asks for volume in terms of π, do NOT type π in your caclulator)

• V = 1568π ft³
• V = 112π ft³
• V = 392π ft³
• V = 56π ft³

What is the volume of the sphere? (Hint: don't forget to cube the radius)

• V = 104.7 m³
• V = 523.6 m³
• V = 4188.8 m³
• V = 418.9 m³

Find the volume of the composite figure.  (Hint: the bottom of the greenhouse is a rectangular prism, and the top of the green house is half of a cylinder.  Think about how you can use one of the 3 dimensions to find the diameter or radius of the cylinder)

• V = 13710 ft³
• V = 8055 ft³
• V = 3314 ft³
• V = 5227 ft³

Tags

CCSS.5.MD.C.5C

The diagram shows a roll of paper towels (nevermind that it is green, just roll with it....see what I did there).  If you want to calculate the volume of just the paper towels, how would you do it and which formula would you use?  (Hint: remember to think about whether you're given the radius or the diameter)

• You would simply use the formula for the volume of a cylinder: V =  (π)(7)²(9)
• You would simply use the formula for the volume of a cylinder: V =  (π)(3.5)²(9)
• You would need to find the volume of the whole cylinder and subtract out the volume of the inner cylinder: V = (π)(3.5)²(9) − (π)(1.5)²(9)
• You would need to find the volume of the whole cylinder and subtract out the volume of the inner cylinder: V =  (π)(3.5)²(9) − (π)(3)²(9)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3