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2 years ago

3/4 liter of water in a bottle. if you drink 1/2 of the water, how many liters did you drink

Mathematics

1 answer:

Lapatulllka [165]2 years ago

7 0

For this case we have that initially the bottle contains $\frac {3} {4}$ of liter of water.

If a person drinks $\frac {1} {2}$ of the contents of the bottle we have:

$\frac {\frac {3} {4}} {2} =\\\frac {3 * 1} {4 * 2} =\\\frac {3} {8}$

Thus, the person drinks $\frac {3} {8}$ liters of water.

Answer:

The person drinks $\frac {3} {8}$ liters of water.

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So, you must look for in your graphs where the equation is going downward.

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1 year ago

The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

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Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

$V = \dfrac{1}{3}\pi r^2 h$

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

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2 years ago

3/4 liter of water in a bottle. if you drink 1/2 of the water, how many liters did you drink​

3/4 liter of water in a bottle. if you drink 1/2 of the water, how many liters did you drink