What is a prime number?

Mathematics

2 answers:

Alex17521 [72]3 years ago

7 0

A prime number is a number that only has two factors: 1 and itself.

Vesna [10]3 years ago

5 0

A prime number is a natural number (the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well) greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.

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A cylindrical cake with a height of 5 inches has a 30 degree slice removed. If the volume of the removed slice is 40 inches what

sesenic [268]

Answer: $5.52\ in.$

Step-by-step explanation:

Given

Height of cylindrical cake is $h=5\ in.$

$30^{\circ}$ slice is removed

Volume of the slice is $V=40\ in.^3$

Area of slice is

$\Rightarrow \dfrac{30^{\circ}}{360^{\circ}}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{12}$

Volume of slice will be multiplication of area and height

$\Rightarrow V=A\times h\\\\\Rightarrow 40=\dfrac{\pi r^2}{12}\times 5\\\\\Rightarrow \pi r^2=\dfrac{40\times 12}{5}\\\\\Rightarrow r^2=\dfrac{40\times 12}{3.142\times 5}\\\\\Rightarrow r^2=30.55\\\Rightarrow r=5.52\ in.$