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2 years ago

Diameter of 6x and height of 2x+5 what is the volume of the cylinder

Mathematics

2 answers:

ki77a [65]2 years ago

4 0

Answer:

(18x^3 + 45x^2)π unit^3.

Step-by-step explanation:

The radius of the base = 1/2 * 6x = 3x.

The volume = π r^2 h

= π * (3x)^2 * (2x + 5)

= 9x^2(2x + 5) π

= (18x^3 + 45x^2)π.

ikadub [295]2 years ago

3 0

Answer:

V = pi*x^2*(18x - 45)

Step-by-step explanation:

If the diameter is 6x and the height is 2x + 5, we know that the radius is 3x.

Plugging this info into the volume-of-a-cylinder formula V = pi*r^2*h, we get:

V = pi*(3x)^2*(2x - 5), or V = pi*(9x^2)(2x -5), or:

V = pi*(18x^3 - 45x^2), or V = pi*x^2*(18x - 45)

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3 years ago

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2 years ago

Read 2 more answers

In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB

zvonat [6]

Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

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2 years ago

Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of p

Alika [10]

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

$a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour$

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles

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2 years ago

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lakkis [162]

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2 years ago