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VashaNatasha [74]
3 years ago
12

The diameter and height of this cylinder are equal to the side length, s, of the cube in which the cylinder is inscribed. What i

s the expression for the cylinders volume?
Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

V = (π/4)s³

Step-by-step explanation:

The volume of a cylinder can be found using the formula ...

V = πr²h

In this problem, we have r=s/2 and h=s. Filling in these values, the volume is ...

V = π(s/2)²·s = (π/4)s³

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<h3>The measurement of the central angle is 135 degrees</h3>

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

<em><u>The length of arc when angle given in degrees is given as:</u></em>

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Where,

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From given,

r = 6\ feet\\\\Arc\ length = \frac{ 9 \pi }{2}\ feet

Substituting the values we get,

\frac{9 \pi }{2} = \frac{ \theta }{ 360} \times 2 \times \pi \times 6\\\\9 \times 360= \theta \times 24\\\\\theta = 135

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