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3 years ago

11

Find the volume of a cylinder with a diameter of 8 inches and a height that is 3 times the radius. Use 3.14 for pi round answer

to nearest hundreth

1 answer:

masha68 [24]3 years ago

6 0

Answer:

603.19

Step-by-step explanation:

v=π $r^{2} h$

pi is 3.14

Radius= Diameter/2= 4, so r square= 16

Height= Radius*3=12

So volume= 3.14*16*12=603.19

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3 years ago

A baseball is hit into the air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas

tankabanditka [31]

Answer:

$\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }$

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

$h(0)=-16\cdot 0^2+128 \cdot 0+2=2$

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as $ax^2+bx+c$ , it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

$\dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{ seconds}}$

And the maximum height of the baseball is h(4).

$h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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