Cylinders
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GMAT Quantitative › Cylinders
Find the volume of a cylinder whose height is and radius is
.
Explanation
To find the volume of a cylinder, you must use the following equation:
Thus,
Find the volume of a cylinder whose height is and radius is
.
Explanation
To find the volume of a cylinder, you must use the following equation:
Thus,
The height of a cylinder is twice the circumference of its base. The radius of the base is 9 inches. What is the surface area of the cylinder?
Explanation
The radius of the base is 9 inches, so its circumference is times this, or
inches. The height is twice this, or
inches.
Substitute in the formula for the surface area of the cylinder:
square inches
The height and the circumference of a cone are equal. The radius of the cone is 6 inches. Give the volume of the cone.
Explanation
The circumference of a circle with radius 6 inches is inches, making this the height. The area of the circular base is
square inches. The cone has volume
cubic inches.
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?
Explanation
The radius of the base is 10 inches, so its circumference is times this, or
inches. The height is twice this, or
inches.
Substitute in the formula for the volume of the cylinder:
cubic inches
Find the surface area of a cylinder whose height is and radius is
.
Explanation
To find the surface area of a cylinder, you must use the following equation.
Thus,
The height and the circumference of a cone are equal. The radius of the cone is 6 inches. Give the volume of the cone.
Explanation
The circumference of a circle with radius 6 inches is inches, making this the height. The area of the circular base is
square inches. The cone has volume
cubic inches.
The height of a cylinder is twice the circumference of its base. The radius of the base is 9 inches. What is the surface area of the cylinder?
Explanation
The radius of the base is 9 inches, so its circumference is times this, or
inches. The height is twice this, or
inches.
Substitute in the formula for the surface area of the cylinder:
square inches
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?
Explanation
The radius of the base is 10 inches, so its circumference is times this, or
inches. The height is twice this, or
inches.
Substitute in the formula for the volume of the cylinder:
cubic inches
Find the surface area of a cylinder whose height is and radius is
.
Explanation
To find the surface area of a cylinder, you must use the following equation.
Thus,