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2 years ago

The cylinder shown has a volume of 30 cubic units. The

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

4 0

The volume of the cone will be 10 cubic units.

<h3>What is volume?</h3>

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.

Given that:-

The cylinder shown has a volume of 30 cubic units.
The cone and the cylinder have the same height and the same base.

The volume of the cone will be:-

Vc = Vcyl

$\dfrac{1}{3} \pi r^2h\ \ \ =\ \ \pi r^2h$

Vc = (1 / 3) Vcyl

Vc = ( 1 / 3 ) x 30

Vc = 10 cubic units

Therefore the volume of the cone will be 10 cubic units.

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Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration $a_a$ , we have the following equation of motion

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Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration $a_k$ , we have the following equation of motion:

$s/3 = a_kt_k^2/2$

tk = 4 s is the time

$s = 3a_k4^2/2 = 24a_k$

$a_k = s/24$

Since $a_a = s/18$ we can conclude that $a_a > a_k$ , so Alison would win.

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$T_a^2 = 2s/a_a = 2s/(s/18) = 36$

$T_a = \sqrt{36} = 6 s$

The time it takes for Kevin to cover the entire track

$s = a_kT_k^2/2$

$T_k^2 = 2s/a_k = 2s/(s/24) = 48$

$T_a = \sqrt{48} = 6.93 s$

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

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3 years ago

How do you solve k/2+9=30

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If you would like to solve the equation k / 2 + 9 = 30, you can calculate this using the following steps:

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