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2 years ago

What is the surface area of the cylinder. Use 3.14 as pi.

Mathematics

2 answers:

ipn [44]2 years ago

7 0

Answer: 376.8 cm^2

Step-by-step explanation:

The formula for the surface area of a cylinder is A = 2prh +2pr^2

When:

A = surface area
p = value of pi (3.14 in this case)
r = radius (= 1/2 diameter)
h = height

When we substitute our values, we get the equation

A = 2(3.14)(4)(11) + 2(3.14)(4^2)

Now, we just multiply, square, and add our numbers to find A

A = 2(3.14)(4)(11) + 2(3.14)(4^2)

A = 2(3.14)(44) + 2(3.14)(16)

A = (6.28)(44) + (6.28)(16)

A = 276.32 + 100.48

A = 376.80

Because the hundredths place is a 0, we don't need to round.

A = 376.8

The unit is in centimeters. Area, and surface area by extent, are written in cm^2 (centimeters squared)

A = 376. 8 cm^2

<h3>Final answer: A = 376.8 cm^2</h3>

Stells [14]2 years ago

6 0

Answer

376.8 cm^2 might be wrong

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Answer:

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Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

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Process

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circumference = 2πr

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r = 2.9/2π

r = 1.45/π cm

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-Substitution

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ycow [4]

Answer:

x = 0 and x = -2 are solutions of the given rational equation.

Step-by-step explanation:

We must solve the following rational equation:

$\frac{x}{2} = \frac{x^{2}}{x-2}$

Now we present the procedure:

1) $\frac{x}{2} = \frac{x^{2}}{x-2}$ Given

2) $x\cdot (x-2) = 2\cdot x^{2}$ Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.

3) $x^{2}-2\cdot x = 2\cdot x^{2}$ Distributive property/ $a^{b}\cdot a^{c} = a^{b+c}$

4) $x^{2} + 2\cdot x = 0$ Compatibility with addition/Existence of the additive inverse/Modulative property/Reflexive property

5) $x \cdot (x+2) = 0$ Distributive property/ $a^{b}\cdot a^{c} = a^{b+c}$

6) $x = 0\, \lor\, x = -2$ Result

Now we check the rational equation with each root:

x = 0

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$0 = 0$

x = 0 is a solution of the rational equation.

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$\frac{-2}{2} = \frac{(-2)^{2}}{-2-2}$

$-1 = -1$

x = -2 is a solution of the rational equation.

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