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Lesechka [4]
3 years ago
7

Mary is making a pinata that has a ball-like shape. The pinata has a surface area of 40 feet. Use the formula for the surface ar

ea of a sphere: (S=4πr^2) to find the radius of the pinata. Round your answers to the nearest hundredth.
Mathematics
1 answer:
Neko [114]3 years ago
7 0
S=4\pi r^2\ \ \ and\ \ \ S=40\ [feet]\ \ \ \Rightarrow\ \ \ 4\pi r^2=40\ /:4\pi\\ \\r^2= \frac{10}{\pi} \ \ \ \Rightarrow\ \ \ r= \sqrt{ \frac{10}{\pi}} \ \ \ \Rightarrow\ \ \ \ r\approx1.78\ [feet]
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Explanation:

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The number 245 is also an integer. It does not have any decimal or fractional parts. The set of integers includes negative whole numbers as well.

The number 245 is a whole number for similar reasoning as it being an integer.

The number 245 is a rational number. Why? Because we can write 245 as 245/1. In other words, 245 = 245/1. Because we can form a fraction of two integers, this shows us 245 is rational. Note: 0 cannot be in the denominator.

The number 245 is NOT an irrational. If a number is rational, then it cannot be irrational. The very definition of "irrational" means "not rational". An example of an irrational number is sqrt(2). We cannot write this as a fraction of two integers.

The number 245 is a real number. If you haven't learned about complex numbers yet, then every number you encounter is a real number.

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