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3 years ago

The cylinder’s diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?

Mathematics

1 answer:

Dominik [7]3 years ago

8 0

Answer:

A = 7,241.2454026112 square mm.

or exact : A = 2,304.96‬*π sq mm

Step-by-step explanation:

Cylinder formula: A = π* r^2 + 2 *π * r* h + π*r^2

is the surface area.

d = 2r = 39.2 mm

h = 39.2 mm

r = 19.6 mm

A = π* r^2 + 2 *π * r* h + π*r^2

A = 2* π* (19.6)^2 + 2π (19.6)*(39.2)

A = 2,413.748467537 + 4,827.496935

A = 7,241.2454026112 square mm.

A = 2*pi* (768.32‬ + 384.16)

A = 2*1,152.48‬* pi

A = 2,304.96‬*π sq mm

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Answer: The base is 18.3ft

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)

Step-by-step explanation:

Given;

Area = 280ft^2

height = 5x

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The area of the parallelogram A can be written as;

Area = base × height

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Substituting the values of Area, base and height.

280 = 5x × 6x

280 = 30x^2

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x = √(280/30)

Since the base = 6x ;

Substituting the value of x.

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Base = 18.3ft

The base is 18.3ft

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3 years ago

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(2x-3)/(2(x+2))
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3 years ago

The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, i

dalvyx [7]

Answer:

r=3x

Step-by-step explanation:

The Volume of a Cone

The volume of a cone of radius r and height h is:

$\displaystyle V=\frac{1}{3}\pi hr^2$

We are given the volume of a cone is

$V=3\pi x^3$

Equating:

$\displaystyle \frac{1}{3}\pi hr^2=3\pi x^3$

Multiplying by 3:

$\pi hr^2=9\pi x^3$

Simplifying by pi:

$hr^2=9 x^3$

Since h=x:

$xr^2=9 x^3$

Dividing by x:

$r^2=9 x^2$

Taking square roots:

$r=\sqrt{9 x^2}=3x$

Thus: r=3x

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3 years ago

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Is a hexagon quadrilateral

notka56 [123]

Answer:

Yes

Step-by-step explanation:Because it has 6 sides

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Darya [45]

Answer:

1/3

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The number of people over 40 is 20 + 30 + 35 = 85.

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3 years ago