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3 years ago

I need help plz and explination its confusing

Mathematics

1 answer:

Mamont248 [21]3 years ago

3 0

Answer:

12.56

Step-by-step explanation:

The formula for circumference is either πr² πd. Thats basically just multiplying. All you have to do is take the the diameter and multiply it times pi and you get the answer. In some cases they want you to use the radius; radius is diameter divided by 2. Example is if 4 is the diameter 2 is the radius. For this one i did 4 times 3.14(pi).

I hope that helps!

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Dmitriy789 [7]

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Step-by-step explanation:

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3 years ago

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4 years ago

There were 30,000 people at a ball game in Los Angeles. The days receipts were $199,000. How many people paid $12.50 for reserve

nataly862011 [7]

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3 years ago

A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a

miv72 [106K]

Answer:

22670.8 cm³/min

Step-by-step explanation:

Given:

Radius of the balloon at a certain time (r) = 19 cm

Rate of growth of radius is, $\frac{dr}{dt}=5\ cm/min$

The rate at which the air is pumped in the balloon can be calculated by finding the rate of increase in the volume of the balloon.

So, first we find the volume of the sphere in terms of 'r'. As the balloon is spherical in shape, the volume of the balloon is equal to the volume of a sphere. Therefore,

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$V=\frac{4}{3}\pi r^3$

Now, rate of increase of volume is obtained by differentiating both sides of the equation with respect to time 't'.

Differentiating both sides with respect to time 't', we get:

$\frac{dV}{dt}=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4\pi}{3}(3r^2)(\frac{dr}{dt})\\\\\frac{dV}{dt}=4\pi r^2(\frac{dr}{dt})$

Now, plug in 19 cm for 'r', 5 cm per minute for $\frac{dr}{dt}$ and solve for $\frac{dV}{dt}$ . This gives,

$\frac{dV}{dt}=4\pi (19 cm)^2(5\ cm/min)\\\\\frac{dV}{dt}=4\times 3.14\times 361\times 5\ cm^3/min\\\\\frac{dV}{dt}=22670.8\ cm^3/min$

Therefore, the rate at which the air is being pumped into the balloon is 22670.8 cm³/min.

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4 years ago