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Worksheet: Volume of a Cylinder

Q1:

Find the volume of the given cylinder, rounded to the nearest tenth.

Q2:

Find the volume of the cylinder. Give your answer in in3 to one decimal place.

Q3:

Find the volume of a circular cylinder whose base has a radius of 14 cm and whose height is 3 cm. Use .

Q4:

The volume of a cylinder is . Find the volume of a cylinder with a radius of 4 cm and a height of 14 cm. Leave your answer in terms of .

  • A cm3
  • B cm3
  • C cm3
  • D cm3
  • E cm3

Q5:

A cylinder has a volume of cm3. Given that its height is equal to the radius of its base, find its height.

  • A cm
  • B cm
  • C3 cm
  • D cm

Q6:

Calculate the radius of a cylinder with volume cm3 and height 11 cm.

Q7:

Given that about 7.5 gallons of water can fill one cubic foot, about how many gallons of water would be in this cylindrical water tank if it was full?

  • A503 gal
  • B
    36 000
    gal
  • C
    28 274
    gal
  • D
    9 000
    gal
  • E
    113 098
    gal

Q8:

Given that about 7.5 gallons of water can fill one cubic foot, about how many gallons of water would be in this cylindrical water tank if it was full?

  • A
    2 118
    gal
  • B
    151 620
    gal
  • C
    119 082
    gal
  • D
    37 905
    gal
  • E
    476 329
    gal

Q9:

Find the dimensions of the right circular cylinder whose radius is of a meter greater than the height and volume is cubic meters.

  • Aradius = 2.67 m, height = 3 m
  • Bradius = 3.33 m, height = 3 m
  • Cradius = 2.33 m, height = 2 m
  • Dradius = 1.67 m, height = 2 m
  • Eradius = 2 m, height = 2.33 m

Q10:

Find the dimensions of the right circular cylinder whose height is one less than half its radius and volume is cubic meters.

  • Aradius = 2 m, height = 6 m
  • Bradius = 8 m, height = 3 m
  • Cradius = 6 m, height = 2 m
  • Dradius = 6 m, height = 4 m
  • Eradius = 6 m, height = 3 m

Q11:

Find the dimensions of the right circular cylinder that is described as follows: the radius and height differ by one meter, where the radius is larger than the height, and the volume is cubic meters.

  • Aradius = 3 m, height = 4 m
  • Bradius = 5 m, height = 4 m
  • Cradius = 4 m, height = 3 m
  • Dradius = 7 m, height = 6 m
  • Eradius = 4 m, height = 5 m

Q12:

Suppose the large container is to be filled with rice using the small container. How many times would the small container need to be filled to completely fill the large container? Give your solution to one decimal place.

Q13:

Suppose the large container is to be filled with rice using the small container. How many times would the small container need to be filled to completely fill the large container? Give your solution to one decimal place.

Q14:

A rectangular piece of card in which and was rolled into a cylinder so that meets . Find the volume of the resulting cylinder. Use .

Q15:

Catherine needs to manufacture a cylinder with a height of 3 feet and a volume of 90 cubic feet. What will be the radius of the cylinder? Give your solution to two decimal places.