All GMAT Math Resources
Example Questions
Example Question #1 :Calculating The Volume Of A Cylinder
What is the volume of a cylinder that is 12 inches high and has a radius of 6 inches?
Example Question #2 :Calculating The Volume Of A Cylinder
A cylindrical gas tank is 30 meters high and has a radius of 10 meters. How much oil can the tank hold?
Example Question #3 :Calculating The Volume Of A Cylinder
The height and the circumference of a cone are equal. The radius of the cone is 6 inches. Give the volume of the cone.
The circumference of a circle with radius 6 inches isinches, making this the height. The area of the circular base issquare inches. The cone has volume
cubic inches.
Example Question #4 :Calculating The Volume Of A Cylinder
The height of a cylinder is twice the circumference of its base. The radius of the base is 10 inches. What is the volume of the cylinder?
The radius of the base is 10 inches, so its circumference istimes this, orinches. The height is twice this, orinches.
Substitutein the formula for the volume of the cylinder:
cubic inches
Example Question #5 :Calculating The Volume Of A Cylinder
A large cylinder has a height of 5 meters and a radius of 2 meters. What is the volume of the cylinder?
We are given the height and radius of the cylinder, which is all we need to calculate its volume. Using the formula for the volume of a cylinder, we plug in the given values to find our solution:
Example Question #6 :Calculating The Volume Of A Cylinder
Consider the Circle:
(Figure not drawn to scale.)
Suppose Circleis the base of a cylindrical silo that has a height of. What is the volume of the silo in meters cubed?
To find the volume of cylinder, use the following equation:
In this equation,is the radius of the base and是圆柱体的高。插入给定的value for the height of the silo and simplify to get the answer in meters cubed:
Example Question #7 :Calculating The Volume Of A Cylinder
A given cylinder has a radius ofand a height of. What is the volume of the cylinder?
The volumeof a cylinder with radiusand heightis defined as. Plugging in our given values:
Example Question #8 :Calculating The Volume Of A Cylinder
A cylindrical oil drum has a radius ofmeters and a height ofmeters. How much oil can the drum hold?
Since we are looking to find out how much oil the drum can hold, we need to find the volume of the drum. The volumeof a cylinder with radiusand heightis defined as. Plugging in our given values:
Example Question #11 :Calculating The Volume Of A Cylinder
Daisy has an empty cylindrical water bottle that has a radius ofand a height of. How much water can she add to the bottle to fill it up?
Not enough information provided
Since we are looking to find out how much water the bottle can hold, we need to find the volume of the bottle. The volumeof a cylinder with radiusand heightis defined as. Plugging in our given values:
Example Question #12 :Calculating The Volume Of A Cylinder
Find the volume of a cylinder whose height isand radius is.
To find the volume of a cylinder, you must use the following equation:
Thus,