Measurement

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

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High School Dr. Math Questions on Measurement
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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

   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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