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3 years ago

Find the volume of the cylinder. Round your answer to the nearest tenth.

Mathematics

2 answers:

muminat3 years ago

7 0

Answer:

Step-by-step explanation:

we know the volume of a cylinder = $\pi r^{2} h$

= 22/7* 15 * 15* 7

= 22*225

= 4950

Juliette [100K]3 years ago

4 0

Answer:

4948

Step-by-step explanation:

volme of a cylinder= π $r^{2}$ ×h

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$\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}$

substitute:

$S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504$

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