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3 years ago

Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius.

Mathematics

2 answers:

frutty [35]3 years ago

8 0

Answer:

Kayla is correct The center is a fixed point in the middle of the sphere

Step-by-step explanation:

In mathematics we have certain habit of rules for notation of points, coordinates, segments, angles and so on.

Usually we denote points, by letters even more we denote with the first letter of the object we are denoting

Occasionally, we also denote segments as radius in a circle and in a sphere, with letters, that is r stands for radius, h stands for height, in most cases we denote point for capital letters ( in a segment)

When we denote radius, with small letter it should be placed at the center or over the segment we are traying to denote.

For points we only need to place the letter close to the to the point we want to denote.

Therefore Kayla is correct when says that c stand for " the center of the sphere"

kati45 [8]3 years ago

7 0

Answer: the correct answer is C for those of you that don’t like to read

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The coordinates A(0,0) B(0,4) C(3,4) and D(3,0) are graphed and connected together. What 3 dimensional shape will be created whe

Anit [1.1K]

All you have to do is rotate the current dots, and bam.

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3 years ago

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

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2 years ago

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Vinvika [58]

Answer:

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Step-by-step explanation:

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2 years ago

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Please help and show wprk

mr Goodwill [35]

Volume of a cylinder is $\pi r^2h$ , where r is the radius and h is the height.

This comes from the area of a circle being $\pi r^2$ . A cylinder is the area of the base circle multiplied by its height.

Using this formula, the volume of the given cylinder is
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3 years ago

Watch help video

Marianna [84]

Answer:

It would be C since a scale factor of 2 makes the original A coordinate of (3,3) times 2 therefore the new coordinates being (6,6)

Step-by-step explanation:

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2 years ago