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3 years ago

The volume of a cylinder is 49pi in.cubed and the height of the cylinder is 1 in. What is the radius of the cylinder?

Mathematics

1 answer:

vazorg [7]3 years ago

3 0

Answer: $r = 7$ inches

Step-by-step explanation:

The formula for finding the volume of a cylinder is given as :

$V = \pi r^{2}h$

substituting the given values , we have

$49\pi = \pi r^{2} (1)$

Therefore:

$49 = r^{2}$

take the square root of both sides

$7 = r$

Therefore :

$r = 7$ inches

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4 years ago

Need help with 2 and 4 ASAP Inverses...

Drupady [299]

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Replace h(x) with y.

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Replace h(x) with y.

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3 years ago

Mrs. Galicia has a cupcake company. The amount of money earned is represented by

sashaice [31]

Using the profit function, it is found that:

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b) The function was shifted right 4 units and up 1 units.

<h3>What is the profit function?</h3>

The profit, in x years after 2015, is given by:

$p(x) = 12\sqrt[3]{x + 2}$

Item a:

She earns $36 after x years, considering x for which p(x) = 36, hence:

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$36 = 12\sqrt[3]{x + 2}$

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Item b:

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At the domain, we have that $x + 2 \rightarrow x - 2$ , that is, $x \rightarrow x - 4$ , hence it was shifted right 4 units.

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You can learn more about functions at brainly.com/question/24380382

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2 years ago

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Makovka662 [10]

Answer:

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4 years ago

Read 2 more answers

Identify the quotient in the form a + bi. HELP ASAP PLEASE!!

Step2247 [10]

Solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Step-by-step explanation:

We need to solve the expression: $\frac{4-5i}{2+3i}$

Multiplying and dividing by 2-3i

$=\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}\\=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,know\,\, i^2=-1\\=\frac{8-12i-10i+15(-1)}{4-9(-1)}\\=\frac{8-15-12i-10i}{4+9}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}$

So, solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

#learnwithBrainly

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3 years ago

The volume of a cylinder is 49pi in.cubed and the height of the cylinder is 1 in. What is the radius of the​ cylinder?

The volume of a cylinder is 49pi in.cubed and the height of the cylinder is 1 in. What is the radius of the cylinder?