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2 years ago

A cylinder has a height of 7 millimeters and a diameter of 6 millimeters. What is its volume?

Mathematics

1 answer:

AleksAgata [21]2 years ago

6 0

Step-by-step explanation:

you could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, in total, we have

pi×r²×h

r being the radius (half the diameter), h being the height.

therefore, the volume of the given cylinder is

pi×(6/2)²×7 = pi×3²×7 = pi×63 = 197.9203372... mm³

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Tammy purchased a prepaid phone card for $15. Long distance calls cost 18 cents a minute using this card. Tammy used her card on

Mars2501 [29]

Answer:

46 minutes

Step-by-step explanation:

Sorry about not answering your question sooner, but here is your answer:

In order to get the answer, we have to subtract the original amount of money on the phone card by the amount left ver after the call:

15 - 6.72 = 8.28

Then, we divide this number by 0.18:

8.28 / 0.18 = 46

So, Tammy's call lasted 46 minutes

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3 years ago

A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in

Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

$s(t) =16t^2+32t$

We can replace there s = 215 ft to get

$215=16t^2+32t$

Solving for the time t.

From the previous equation we can move all terms in one side to get

$16t^2+32t-215=0$

At this point we can solve for t using quadratic formula.

$t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

where a, b and c are the coefficients of the quadratic equation

$at^2+bt+c=0$

So we get

$a=16\\b=32\\c=-215$

Replacing on the quadratic formula we get

$t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}$

Using a calculator we get

$t=-4.8 , t = 2.8$

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

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3 years ago

Where do planes ABC and BFG intersect?

Setler79 [48]

Answer:

Letter B

Step-by-step explanation:

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2 years ago

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Which of the following polygons is not a regular polygon?

Rus_ich [418]

Answer: the rectangular

Step-by-step explanation:

All the sides are equal for a regular polygon

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3 years ago

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A cylindrical tank with a radius of 12 inches and a height of 20 inches is full of water. Does the tank have enough water to fil

Reptile [31]

Answer:

Yes, it can.

Step-by-step explanation:

To know if you can fill all the water balloons with the tank, the first thing is to calculate the volume of each one.

Volume of the tank, is a cylinder, whose volume is given as follows:

Vc = Pi * Rc ^ 2 * h

The radius of the cylinder has a value of 12 inches and the height of 20 inches. Thus:

Vc = 3.14 * (12) ^ 2 * 20 = 9043.2 inches ^ 3

Now, the volume of each globe that is a sphere is given by the following equation:

Ve = (4/3) * Pi * Re ^ 3

Being the radius of the sphere of 2, we have to:

Ve = (4/3) * 3.14 * 2 ^ 3 = 33.5 inches ^ 3

Now to know if you can fill all the balloons, we calculate the volume ratio of the tank and a balloon.

Vc / Ve = 9043.2 /33.5 = 269.95

Therefore, it can fill the 250 balloons because it has the capacity to carry approximately 269 balloons.

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3 years ago

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A cylinder has a height of 7 millimeters and a diameter of 6 millimeters. What is its volume?​

A cylinder has a height of 7 millimeters and a diameter of 6 millimeters. What is its volume?