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4 years ago

A cylinder has a volume of 1884 cm^3. Find the same radius and height as the cylinder

Mathematics

1 answer:

astra-53 [7]4 years ago

3 0

Answer:

628

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The volume of a cone is

V = 1/3 pi r^2 h

If the radius and height are the same

The cone will have 1/3 the volume of a cylinder

The cone has 1/3 the volume of a cylinder given the same height and radius

1/3(1884) =628

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

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3 years ago

When outliers are removed how does the mean change?

Juliette [100K]

The answer to this question is the mean increases by 3.

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If an experimenter conducts a t test for independent means and rejects the null hypothesis, the correct interpretation is that:

lisabon 2012 [21]

Answer: C

Step-by-step explanation:

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3 years ago

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lubasha [3.4K]

Answer:

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Step-by-step explanation:

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3 years ago

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snow_tiger [21]

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