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yulyashka [42]
3 years ago
10

What will happen to the volume of a cylinder if the radius is halved?

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

A. 1/4 as large

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

Cut the radius in 1/2

V = pi (1/2r)^2 h

V = pi (1/4) r^2 h

V = 1/4 pi r^2 h

The volume is 1/4 what is was before we cut the radius in 1/2

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5 0
3 years ago
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You need a 25% alcohol solution. On hand, you have a 225 mL of a 35% alcohol mixture. How much pure water will you need to add t
Radda [10]

You will need 252 mL of pure water to obtain 0.25 mL of the desired 25% solution.

If we add X amount of water to the solution, the total amount of solution is 375+X.

And that must be 25%.

<h3>What is the amount of solute in the current solution?</h3>

The amount of solute in the current amount of solution is

0.6(375)=225.

That amount won't change by adding water.

So we set up the equation so that the amount of solute divided by the new total amount of solution equals 25%.

225/(375+X)=0.25

cross multiply and solve

225/0.25=(375+X)

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X=525

The pure water will you need to add to obtain the desired solution is 525.

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7 0
2 years ago
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4995 to rent
KIM [24]
Construct an equation in which s is the number of tons of sugar to be transported 4500 + 150.25s = 3696 + 200.5s Solve for s 4500 - 3696 = 200.5s - 150.25s 804 = 50.25s s = 804/50.25 = 16 tons of sugar The cost is found by plugging this value into either side of the original equation; it is $6904.
3 0
3 years ago
The diameter of the circle above is 100 cm. What is the circumference of the circle? (Use = 3.14.) I really need it
PIT_PIT [208]

Answer:

314 cm

Step-by-step explanation:

The formula for the circumference is C=\pi d, when d is the diameter.

C=\pi d

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Therefore, the circumference of the circle is 314 cm.

I hope this helps!

8 0
3 years ago
The freefall function to calculate velocity, v, of an object that begins at rest and falls for distance d is v(d) = 2gd , where
andrey2020 [161]

9514 1404 393

Answer:

  32.8 m/s

Step-by-step explanation:

The function is actually ...

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The velocity at the end of the free-fall is about 32.8 meters per second.

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3 years ago
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