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geniusboy [140]
3 years ago
10

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

x = 2.5

Step-by-step explanation:

Surface area of cylinder = 2πr(h + r)

Volume of cylinder = πr²h

Given that S.A = Volume of the cylinder, therefore, we have:

2πr(h + r) = πr²h

Radius (r) is given as 2.5 cm

height (h) = x cm

Input the values and solve for x

2πr(h + r) = πr²h

2πr(h + r) = πr(rh)

2(h + r) = rh (πr cancels πr)

2(x + 2.5) = 2.5*x

2x + 5 = 2.5x

Subtract 2x from both sides

2x + 5 - 2x = 2.5x - 2x

5 = 0.5x

Divide both sides by 0.5

\frac{5}{0.5} = \frac{0.5x}{0.5}

2.5 = x

x = 2.5

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I probably got it wrong tho, so sorry if it is incorrect

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Svetllana [295]

Answer:

B= \frac{2A}{H}

Step-by-step explanation:

If you noticed, A= \frac{1}{2}BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2.   2(A)=2(\frac{1}{2}BH).    On the left, you have 2×A= On the right side, you have     2(\frac{1}{2}BH),     but since you have a number in the equation, you will only use 2×\frac{1}{2}. To solve  2×\frac{1}{2}, you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.

(Your new equation looks like this by the way).    2A=BH

Since you need to get B by its self, the way to clear the H away from the B is by dividing.  You will now divide the B and H aswell as 2A and H. (It will look like this) \frac{2A}{H} = \frac{BxH}{H} . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with \frac{2A}{H} = B. Now you can turn it around for your final answer. B= \frac{2A}{H}.

Please let me know if i helped, how I did, and if you have any questions.

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pentagon [3]

The measure of the angles in bold are as follows;

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<h3>How to find angles?</h3>

When two parallel lines are cut by a transversal , angle relationship are formed. They are alternate angles, corresponding angles etc.

Therefore,

x + 96 + x + 96 = 180

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Hence, the angles are 90 and 90 degrees.

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6x - 5x = 10

x = 10

Therefore, the angles are 60 degrees and 60 degrees

learn more on angles here: brainly.com/question/8691602

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