Volume of cylinders practice
Sure! Here are three practice problems for finding the volume of cylinders:
1. Find the volume of a cylinder with a radius of 4 cm and a height of 10 cm.
Solution: The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Plugging in the given values, we have V = π(4 cm)^2(10 cm) = 160π cm^3, or approximately 502.65 cm^3.
2. A cylindrical water tank has a radius of 3 feet and a height of 8 feet. Find the volume of the tank.
Solution: Using the formula V = πr^2h, we can substitute the given values to get V = π(3 ft)^2(8 ft) = 72π ft^3, or approximately 226.2 ft^3.
3. Find the volume of a cylinder with a diameter of 12 cm and a height of 6 cm.
Solution: The radius is half the diameter, so the radius is 12 cm/2 = 6 cm. Using the formula V = πr^2h, we can substitute the values to get V = π(6 cm)^2(6 cm) = 216π cm^3, or approximately 678.58 cm^3.
Remember to always check the units of your measurements and the units of your answer to ensure they are consistent.