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3 years ago

Please Help! image below

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

6 0

Answer:

A = 81π cm²

Step-by-step explanation:

The area (A) of the cross section is calculated as

A = πr² ( r is the radius )

Find r by using the given circumference.

Given the circumference is 18π and circumference (C) is

C = 2πr = 18π ( divide both sides by 2π )

r = 9, thus

A = π × 9² = 81π cm²

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Calculate the sum of the infinite series

Rina8888 [55]

Answer:

$S_\infty=250$ .

Step-by-step explanation:

The given infinite series is $50+40+32+\frac{128}{5}+...$ .

The first term of this series is $a_1=50$ .

The common ratio is $r=\frac{40}{50}$ .

$\Rightarrow r=\frac{4}{5}$ .

The sum of this infinite series is given by the formula,

$S_\infty=\frac{a_1}{1-r}$

We now substitute all the above values in to this formula obtain,

$S_\infty=\frac{50}{1-\frac{4}{5}}$

This implies that,

$S_\infty=\frac{50}{\frac{1}{5}}$

This simplifies to,

$S_\infty=50\times 5$

$S_\infty=250$ .

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sergij07 [2.7K]

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