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3 years ago

What is the surface area of the cylinder? Express the answer in terms of Pi?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

Lids

It is not clear how many lids the cylinder has or perhaps it is a solid. I'll say it has 2 lids.

The surface area of one lid = pi * r^2

r = 4

The surface area of one lid is pi*4^2 =16 pi

The surface area of two lids is 32*pi

Body

Length of the body = pi * d

Length of the body = 8 * pi cm

Height of the body = 18 cm

Area = l*h

Area = 8pi * 18 cm

Area = 144 pi

Total

Total Area = 32 pi + 144pi

Area = 176 pi cm^2

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mariarad [96]

.666 gallons, you multiply 8/9 by 3/4
and thats how you do it.

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4 years ago

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olya-2409 [2.1K]

Answer:

C) 1/3

Step-by-step explanation:

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3 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

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3 years ago

Jamie has 6 coins. Each coin is either a penny or a nickel. How much money does Jamie have?

seraphim [82]

He would have 6-30 cents

3 0

3 years ago

Read 2 more answers

a certin shade of green paint is made from 5 parts yellow mixed with three parts blue. if 2 cans of yellow are used, how many ca

andrew-mc [135]

__Brainliest if helped!

5 Parts Yellow with 3 Parts blue
5Yellow with 3 Blue
1Yellow would be with 3/5 Blue
Hence ,
2 Yellow = (3/5)*2 Blue =6/5 Cans of blue or 1.2Cans of blue.

4 0

3 years ago