Volume of Cylinders

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Show your work for each problem.

1.
Which formula gives the volume of a cylinder with radius $r$ and height $h$ ?
1. a) $V = 2\pi r h$
2. b) $V = \pi r h$
3. c) $V = \pi r^2 h$
4. d) $V = \pi d^2 h$
2.
A cylinder has radius $2$ cm and height $5$ cm. Its volume is $V = \square\pi$ cm³. What number goes in the box?
3.
A cylinder has a diameter of $10$ cm. Which value should you use for $r$ in $V = \pi r^2 h$ ?
1. a)2.5 cm
2. b)10 cm
3. c)5 cm
4. d)20 cm
4.
A cylinder has radius $10$ cm and height $10$ cm. Find its volume in cm³. Use $\pi \approx 3.14$ .
5.
Find the volume of a cylinder with radius $3$ cm and height $4$ cm. Use $\pi \approx 3.14$ and do not round.
6.
A can has a diameter of $6$ cm and a height of $10$ cm. What is its volume in terms of $\pi$ ?
1. a) $90\pi$ cm³
2. b) $360\pi$ cm³
3. c) $30\pi$ cm³
4. d) $60\pi$ cm³
7.
A cylinder has a diameter of $8$ cm and a height of $5$ cm. Find its volume using $\pi \approx 3.14$ . Round to the nearest whole cm³.
8.
A cylindrical water tank has radius $50$ cm and height $100$ cm. How many liters does it hold? Use $\pi \approx 3.14$ .
9.
A cylinder has a volume of $942$ cm³ and a radius of $5$ cm. Find its height. Use $\pi \approx 3.14$ .
10.
You double the radius of a cylinder and keep the height the same. What happens to the volume?
1. a)It becomes 4 times as big
2. b)It doubles
3. c)It becomes 8 times as big
4. d)It stays the same
11.
A cylinder has a volume of $50\pi$ cm³ and a radius of $5$ cm. What is its height in cm?
12.
A soup can has a diameter of $10$ cm and a height of $12$ cm. How many liters does it hold? Use $\pi \approx 3.14$ .
13.
A round tank is $2$ m wide (diameter) and $1.5$ m tall. How many liters does it hold? Use $\pi \approx 3.14$ and $1$ m³ $= 1000$ L.
14.
A cylinder is $20$ cm tall and has a volume of $1570$ cm³. Find its radius. Use $\pi \approx 3.14$ .
15.
Cylinder A has radius $4$ cm and height $3$ cm. Cylinder B has radius $3$ cm and height $4$ cm. Which one holds more?
1. a)Cylinder B
2. b)You cannot tell without a calculator
3. c)Cylinder A
4. d)They hold the same amount
16.
A cylinder has radius $2.5$ cm and height $7$ cm. Find its volume using $\pi \approx 3.14$ . Round to the nearest tenth of a cm³.
17.
A full can (radius $4$ cm, height $15$ cm) is poured into glasses. Each glass is a cylinder with radius $3$ cm and height $8$ cm. How many glasses can you fill completely?
18.
A cylindrical aquarium has a diameter of $40$ cm and a height of $50$ cm. How many liters does it hold? Use $\pi \approx 3.14$ and round to the nearest liter.