Volume of cylinders
Find the volume of cylinders using , find missing dimensions given the volume, and solve real-world problems involving cylinders.
Worked examples
Finding the volume of a cylinder
Straightforward
Problem
Find the volume of a cylinder with radius cm and height cm. Round to 2 decimal places.
1
Write the formula for the volume of a cylinder.
2
Substitute the known values and .
3
Evaluate and multiply.
4
Calculate the decimal value.
Answer
cm³
Finding the height given the volume
Moderate
Problem
A cylinder has volume cm³ and radius cm. Find its height, rounded to 2 decimal places.
1
Write the formula and identify the unknown.
2
Substitute the known values and .
3
Calculate the denominator .
4
Divide to find the height.
Answer
cm
Filling time for a cylindrical tank
Challenging
Problem
A cylindrical water tank has radius m and height m. Water flows into the tank at m³ per minute. How long does it take to fill the tank? Round to 2 decimal places.
1
Find the volume of the cylindrical tank.
2
Calculate the decimal value of the volume.
3
Divide the total volume by the flow rate to find the time.
4
Calculate the time.
Answer
Approximately minutes
Practise
Q1·Straightforward
Find the volume of a cylinder with radius cm and height cm. Give your answer in cm³ rounded to 2 decimal places.
Explanation
Q2·Straightforward
Find the volume of a cylinder with radius cm and height cm. Give your answer in cm³ rounded to 2 decimal places.
Explanation
Q3·Straightforward
A cylinder has radius cm and height cm. What is its volume in cm³? Round to 2 decimal places.
Explanation
Q4·Straightforward
Find the volume of a cylinder with radius cm and height cm. Round your answer to 2 decimal places.
Explanation
Q5·Moderate
A cylinder has volume cm³ and height cm. Find its radius in cm, rounded to 2 decimal places.
Explanation
Q6·Moderate
A cylinder has volume cm³ and radius cm. Find its height in cm, rounded to 2 decimal places.
Explanation
Q7·Moderate
A cylinder has volume cm³ and radius cm. Find its height in cm, rounded to 2 decimal places.
Explanation
Q8·Moderate
A cylinder has volume cm³ and height cm. Find its radius in cm, rounded to 2 decimal places.
Explanation
Q9·Challenging
A cylindrical water tank has radius m and height m. Water flows in at a rate of m³ per minute. How many minutes does it take to fill the tank? Round to 2 decimal places.
Explanation
Q10·Challenging
Cylinder A has radius cm and height cm. Cylinder B has radius cm and height cm. By how many cm³ is Cylinder A larger than Cylinder B? Round to 2 decimal places.
Explanation
Q11·Challenging
A solid cylinder with radius cm and height cm has a cylindrical hole of radius cm drilled through its full length. What is the volume of the remaining solid in cm³? Round to 2 decimal places.
Explanation
Q12·Challenging
A cylinder has volume cm³ and height cm. Find the diameter of the cylinder in cm, rounded to 2 decimal places.
Explanation