What is volume of a cylinder with base area 64πcm2 and a height equal to twice the radius? Give your answer in terms of π

Mathematics

1 answer:

bagirrra123 [75]2 years ago

3 0

Answer:

1024π

Step-by-step explanation:

<em>Took a quiz, got this answer right.</em>

<u>Here are the steps anyways:</u>

64π cm² is the base area

The height is equal to twice the radius

<h3>Volume of a Cylinder: V=B×h/V=πr²×h</h3>

1. Find radius: √64 (Which is 8)

2. Double the radius, 8×2=16

3. Multiply 16 and 64π, 16×64π=1024π

hopefully this was understandable, first time answering a question

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An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the

DedPeter [7]

<em><u>The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:</u></em>

$d = -16t^2 + 1000$

<em><u>Solution:</u></em>

<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the formula:</u></em>

$d = -16t^2 + 1000$

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

$-16t^2 + 1000 > 300$

Solve the inequality

Subtract 1000 from both sides

$-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700$

$16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61$