ARCHIMEDES OF SYRACUSE

Where was Archimedes born and lived most of his life?

• Athens, Greece
• Alexandria, Egypt
• Syracuse, Sicily
• Rome, Italy

What is Archimedes best known for throughout most of history?

• Military innovations
• The invention of the telescope
• Discovering the concept of zero
• His work on integral calculus

Which term is often used to describe Archimedes in the company of mathematicians such as Newton and Gauss?

• Greatest physicist
• Greatest chemist
• Greatest astronomer
• Greatest mathematician

How did Archimedes estimate the area of a circle?

• He used integral calculus
• He counted the number of small squares inside the circle
• He used the method of exhaustion
• He divided the circle into sectors

What mathematical concept did Archimedes use to calculate the volume of a solid like a sphere?

• Infinitesimals
• Trigonometry
• Complex numbers
• Algebraic equations

What is Archimedes' most sophisticated use of the method of exhaustion?

• Quadrature of the Parabola
• Approximation of the area of a circle
• Calculation of the volume of a cylinder
• Calculation of the surface area of a sphere

What was Archimedes' view on the concept of infinity compared to other Greek mathematicians?

• He embraced actual infinity
• He rejected the concept of infinity
• He only accepted potential infinity
• He never considered the concept of infinity

What is Archimedes' Principle primarily used to determine?

• The density of an object
• The speed of sound in fluids
• The composition of materials
• The wavelength of light

What did Archimedes shout in excitement while running through the streets after his bathtub discovery?

• "Eureka! Eureka!"
• "I found the answer!"
• "Help! Help!"
• "The crown is real!"

What famous quotation is attributed to Archimedes regarding moving the Earth?

• "Give me a lever and a fulcrum, and I will lift the Earth."
• "Give me a place to stand on, and I will move the Earth."
• "Give me a pulley, and I will shift the Earth's orbit."
• "Give me a telescope, and I will see the edge of the Universe."