High School Level Questions on Volume
from the Dr. Math Archives

High School Dr. Math Questions on Measurement
Below are some questions and answers from our archive of questions sent via e-mail by K12 students and teachers to Ask Dr. Math. You may also browse the entire middle school level archive by category.


   Volume of a Cone

Area, Volume of a Cone
What are the formulae to find the volume and area of a cone?
Volume of a Cone
How much coffee can a tapered coffee pot hold?

   Volume of a Cylinder

Volume of Cube, Tent
How do I calculate the volume of a cube and a tent... and the capacity of a cylinder and a tent?
Volume of a Cylindrical Tank
I have to keep an inventory of how much is kept in a farm of tanks outside my school. The tanks are cylindrical, which would be no problem if the were standing on end...
Volume of Liquid in a Cylinder
How can I calculate the area under a chord of a circle - the amount of liquid in a cylinder laid in the horizontal plane?
Water in a Horizontal Tank
What's the volume of water in a cylindrical tank 72" long and 36" in diameter, filled only to 4.25"?

   Volume of a Pyramid and a Prism

Rectangular Prism
Is it possible to have a rectangular prism that has a volume greater than its surface area?
Volume Equations for a Sphere and a Pyramid
Can you give me the formulas for the volume of a sphere and the volume of a pyramid?
Volume of a Pyramid
All six edges of a triangular pyramid are 4 inches long. Find the volume of the pyramid.
Volume of Irregular Pyramid of Human Arm
I form an irregular pyramid from my arm, forearm, shoulder and wrist in the rest position (forearm rested on a table). Is there any way to measure the volume of this irregular pyramid?
Volume of a Rectangular Solid
How do you calculate the lateral area, total area, and volume of a rectangular solid with the following dimensions...

   Volume of a Sphere

Sphere Formulas
What are the formulas for area and volume of a sphere?
Sphere in a Cube
I have a cube of 200x200x200 and a sphere with a radius of 100 is inside it. I want to be able to put in x and y and using a formula get z.
Sphere and Pyramid?
Can you give me the formulas for the volume of a sphere and the volume of a pyramid?

   Volumes of Uncommon Objects

Area and Volume of a Football
How would one find the area of a football? Or then again, how would one find the volume of a football?
Area and Volume of a Pear
How do you find the area and volume of a pear?
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Mara Landers

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