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2 years ago

3. In what bases would 4025 be a legitimate numeral?

Mathematics

1 answer:

xxMikexx [17]2 years ago

4 0

Base six and greater would make 4025 a legitimate numeral.

Legitimate number in which bases a number is legitimate by comparing the largest digit with the base number. If the largest digit is less than the base number, it is a legitimate number.

We have number 4025 .So, here largest digit is 5.

As 4025 to be the Legitimate numeral ,the base number should be greater than the largest digit of the numeral. So the base number should be greater than 5 .

Therefore, any base of 6 or higher would make 4025 a legitimate numeral.

Learn more:brainly.com/question/10868065

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Step-by-step explanation:

Given

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Required

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The formula goes thus

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Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

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The next step is to solve for the volume of the sphere using the following formula;

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Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

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$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

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From the question, we were given that the height of the cylinder and the sphere have equal value;

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