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Mandarinka [93]
2 years ago
6

A hemisphere fits snugly inside a cylinder with a radius of 12 cm. A cone fits snugly inside the same hemisphere. What is the vo

lume of the cylinder in terms of LaTeX: \piπ? Show all work.
Mathematics
1 answer:
krok68 [10]2 years ago
7 0

Answer:

The volume of the cylinder is 1,728·π cm³

Step-by-step explanation:

The given parameters are;

The radius of the cylinder, r = 12 cm

The location of the hemisphere = Inside the cylinder

The size relationship between the hemisphere and the cone = Snuggly fit

Therefore, we have;

The radius of the hemisphere = The radius of the cylinder = 12 cm

The height of the cylinder, h = The radius of the hemisphere = 12 cm

The volume of the cylinder, V = π·r²·h

Where;

h = 12 cm

r = 12 cm

Therefore;

V = π·r²·h = π × (12 cm)² × 12 cm = (12 cm)³·π = 1,728·π cm³

The volume of the cylinder, V, in terms of pi (π) is, V = 1,728·π cm³.

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Maxwell Flooring started the year with total assets of $160,000 and total liabilities of $75,000. During the year, the business
juin [17]

Answer:

(A) $150,000

Step-by-step explanation:

As per the given data of the question,

Maxwell Flooring started the year with

Total Assets = $160,000

Total liabilities = $75,000

Revenues = $250,000

Expenses = $100,000

Dividends = $30,000

Stockholders' equity at the end of the year was given by formula:

SE = (Total Assets - Total Liabilities) + (Revenues - Expenses) - Dividends

Therefore,

SE = (Total Assets - Total Liabilities) + (Revenues - Expenses) - Dividends

SE = ($160,000 - $75,000) + ($250,000 - $100,000) - $30,000

SE = $205000

Now,

Stockholders' equity at the end of the year

=  Net income - Dividend + Assets - Liabilities

$205000  = Net income - $30,000 + $160,000- $75,000

∴ Net income = $205,000 - $55000 = $150,000

Hence,The net income reported by Maxwell Flooring for the year = $150,000  

5 0
3 years ago
Please help quickly I don’t understand
bekas [8.4K]

Answer:

15y^5

Step-by-step explanation:

Formula for the area of a rectangle is length times width.

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A stadium floor that is in the shape of a circle has a diameter with a length of 50 yards. What is the area of the circle on the
barxatty [35]

Step-by-step explanation:

as diameter=50 yards

radius (r)=50/2=25 yards

ar of circle = π r r

π=22/7

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Use the intermediate value theorem to prove that there is a positive number c such that c2 = 2.
schepotkina [342]

So lets try to prove it,

So let's consider the function f(x) = x^2.

Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity).

Using the Intermediate Value Theorem,

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Therefore, f(0) = 0, which is less than 2, and f(3) = 9, which is greater than 2. Applying IVT to f(x) = x^2 on the interval [0,3}.

Learn more about Intermediate Value Theorem on:

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Answer:eirther C or D not sure

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