How did we figure out pi?

Here’s a brief history of finding π. The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

Who discovered volume of a sphere?

Archimedes

When did Archimedes discover the volume of a sphere?

On the Sphere and Cylinder (Greek: Περὶ σφαίρας καὶ κυλίνδρου) is a work that was published by Archimedes in two volumes c. 225 BCE. It most notably details how to find the surface area of a sphere and the volume of the contained ball and the analogous values for a cylinder, and was the first to do so.

How did Archimedes prove the volume of a sphere?

Archimedes determined the ratio of the volume of a sphere to the volume of the circumscribed cylinder. So the volume of the sphere is 1/2 – 1/3 = 1/6 the volume of the large cylinder, using Euclid’s result. It follows that the volume of the sphere is 4/6 = 2/3 of the volume of the circumscribed cylinder.

What was Archimedes sphere?

A mechanical model of the Universe attributed to the ancient Greek mathematician and polymath Archimedes has been reconstructed after more than two millennia. Modern scholars have generally assumed that Archimedes’ sphere — if it existed — displayed astronomical positions on a flat dial.

Does iPhone have a pi symbol?

Pi Emoji on iOS (iPhone, iPad and iPod touch) There is no emoji for pi at the moment. It’s a text symbol. You’ll have to copy paste pi symbol π if you’re on iOS or iPad OS. If you’re using it often you can add a shortcut in Settings ➜ General ➜ Keyboard ➜ Text Replacement.

Why is 69 not a prime number?

No, 69 is not a prime number. The number 69 is divisible by 1, 3, 23, 69. For a number to be classified as a prime number, it should have exactly two factors. Since 69 has more than two factors, i.e. 1, 3, 23, 69, it is not a prime number.

Is square root of 69 a real number?

The square root of 69 is a non-repeating and non-terminating number so, it cannot be expressed in the form of p/q where q ≠ 0. Hence, the square root of 69 is an irrational number.

What are the factors of 69?

Factors of 69

• Factors of 69: 1, 3, 23 and 69.
• Prime Factorization of 69: 69 = 3 × 23.

Is 67 divisible by any number?

Is 67 Divisible By Anything? The numbers that 67 is divisible by are 1 and 67. You may also be interested to know that all the numbers that 67 is divisible by are also known as the factors of 67. Not only that, but all the numbers that are divisible by 67 are the divisors of 67.

What two numbers make 69?

69 = 1 x 69 or 3 x 23. Factors of 69: 1, 3, 23, 69.

What are the common factors of 33 and 69?

Detailed Answer: The Greatest Common Factor (GCF) for 33 and 69, notation CGF(33,69), is 3. Explanation: The factors of 33 are 1,3,11,33; The factors of 69 are 1,3,23,69.

What are the first 10 multiples of 69?

The first 10 multiples of 69 are 69, 138, 207, 276, 345, 414, 483, 552, 621 and 690.

What two numbers make 60?

60 = 1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12, or 6 x 10.

What 3 of the same numbers equal 60?

2 Answers By Expert Tutors If they are consecutive, make an equation with x, x+1, and x+2, and set that equal to 60. If three numbers add up to 60, their mean is 60/3=20. This is the same as having 20,20, and 20, but, you have three consecutive integers.

What two numbers equal 63?

63 is a composite number. 63 = 1 x 63, 3 x 21, or 7 x 9.

What can equal 24?

The factor pairs of 24 are: 1 x 24, 2 x 12, 3 x 8, and 4 x 6.

What is the prime factorization for 24?

So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.

What multiplication makes 36?

36 = 1 x 36, 2 x 18, 3 x 12, 4 x 9, or 6 x 6.