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2 years ago

Find the volume of the cone shown as a decimal rounded to the nearest tenth.

Mathematics

2 answers:

Likurg_2 [28]2 years ago

7 0

Answer:

A. 392•8yd^3

Step-by-step explanation:

Makovka662 [10]2 years ago

3 0

Answer:

Step-by-step explanation:

volume = 1/3 π r² h

where h = 15 yd.

r = 5 yd.

<u>plugin values into the equation:</u>

volume = 1/3 π r² h

= 1/3 * π * 5² * 15

= 392.7 yd³

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The kinetic energy (K) that an object has varies jointly with its mass (m) and the square of its velocity (v). The equation that

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The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

<h3>What is Kinetic Energy?</h3>

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

Mass of the bowling ball m = 3kg

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Kinetic energy K = ?

We substitute the given values into the above equation.

K = (1/2)mv²

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Learn more about kinetic energy here: brainly.com/question/12669551

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16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

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We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

$\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

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2 years ago