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3 years ago

Surface Area of Cylinders - Item 1175

Mathematics

1 answer:

mylen [45]3 years ago

5 0

The surface area is 47.1 sq in.

Step-by-step explanation:

Given,

The height (h) of the coin (cylinder shaped) = 5 inches

The radius (r) = 1.5 inches

To find the surface area of the coin.

We need to find the lateral surface area of the coin.

Formula

The surface area of the coin of radius r and height h is 2πrh.

Now,

Putting the value of h and r and π=3.14 we get,

Area = 2×3.14×1.5×5 sq inches

= 47.1 sq in

Hence, the surface area is 47.1 sq in.

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Answer:

x= -9

Step-by-step explanation:

-x+3=2(x+15)

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-x-2x+3=30-3

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3 years ago

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3 years ago

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lianna [129]

L being the length, W being the width.

So:

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3 years ago

A written explanation solving the question how much fluid is needed using the Pythagorean method and finding the area of the tri

Alecsey [184]

Answer:

793 liters of washing fluid is needed

Step-by-step explanation:

step 1

Find the slant height of the triangular faces of pyramid

we know that

The lateral area of a square pyramid is equal to the area of its four triangular faces

$LA=4[\frac{1}{2}bl]$

where

b is the base of triangle (is the same that the length of the square base)

l is the slant height

To find out the slant height we need to apply the Pythagorean Theorem

$l^2=(b/2)^2+h^2$

we have

$b=35.42\ m$

$h=21.64\ m$

substitute

$l^2=(35.42/2)^2+21.64^2$

$l^2=781.9337$

$l=27.96\ m$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bl]$

we have

$l=27.96\ m$

$b=35.42\ m$

substitute

$LA=4[\frac{1}{2}(35.42)(27.96)]$

$LA=1,980.6864\ m^2$

step 3

Find out how much window washing fluid is needed

we know that

2 L of washing fluid cover 5 square meters

using proportion

$\frac{2}{5}\ \frac{L}{m^2}=\frac{x}{1,980.6864}\ \frac{L}{m^2}\\\\x=1,980.6864(2)/5\\\\x= 792.27\ L$

Round up

793 liters of washing fluid is needed

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3 years ago