3 years ago

Brainliest if correct

Mathematics

1 answer:

Rzqust [24]3 years ago

8 0

Answer:

the answer is c

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Evaluate the integral Find the volume of material remaining in a hemisphere of radius 2 after a cylindrical hole ofradius 1 is d

algol13

You want to find the volume inside the hemisphere $x^2+y^2+z^2=4$ (i.e. inside the sphere but above the plane $z=0$ ) and outside the cylinder $x^2+y^2=1$ . Call this region $R$ .

In cylindrical coordinates, we have

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_1^2\int_0^{\sqrt{4-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$

$\displaystyle=2\pi\int_1^2 r\sqrt{4-r^2}\,\mathrm dr$

$\displaystyle=-\pi\int_3^0\sqrt u\,\mathrm du$

(where $u=4-r^2$ )

$\displaystyle=\pi\int_0^3\sqrt u\,\mathrm du$

$=\dfrac{2\pi}3u^{3/2}\bigg|_0^3=2\sqrt3\,\pi$

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4 years ago

1. The Royals softball team played 125 games and won 60 of them. What percent of the games did they lose? A. 48% B. 52% C. 65% D

Sauron [17]

Answer:

52% or B.

Step-by-step explanation:

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3 years ago

Round fraction as a decimal round three decimals place 6/13

frez [133]

Round fraction as a decimal: 6/13=.462 that's the answer

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3 years ago

I'm single as a pringle and ready to mingle

Nitella [24]

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3 years ago

Read 2 more answers

If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years? Round to the nearest tent

mr Goodwill [35]

Answer:

Step-by-step explanation:

Alright, let get started.

Suppose the initial deposit in account = x

After five years, this accounts get doubled means = 2x

Means in 5 years , the growth = $2x-x = x$

So, in 1 year, the growth will be = $\frac{x}{5}$

So, in 3 years, the growth will be = $\frac{x}{5}*3=\frac{3x}{5}$

So percent grwoth will be = $\frac{\frac{3x}{5}}{x}*100 = 60$

Hence percentage growth is 60 %. : Answer

Hope it will help :)

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3 years ago