Mathematics: sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose the height of the pile infcreases at a rate of 1cm/s when the pile is 12 cm hight. at what rate is the sand leaving the bin at that instant

sand falls from an overhead bin and accumulates in

Ответ:

bdjxoanbcisnkz

21.08.2021

Mathematics

$\frac{dv}{dt} =7239.168 cm/sec$

Step-by-step explanation:

From the question we are told that:

Rate $\frac{dh}{dt}=1cm$

Height h=12cm

Radius r=4h

Generally the equation for Volume of Cone is mathematically given by

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

$V=\frac{1}{3}\pi (4h)^2h$

Differentiating

$\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}$

$\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1$

$\frac{dv}{dt} =7239.168 cm/sec$

0,0(0 оценок)

Ответ:

justinsharp3

09.11.2021

Mathematics

The formula for the Circumference of a circle is 2•Pi•R, or 2•Radius•3.14
This is to calculate the measurements around the circle.

The formula for the Area of a circle is Pi•R^2, or 3.14•R•R
This is to calculate the entire circle.

I hope this helps!

0,0(0 оценок)

sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose the height of the pile infcreases at a rate of 1cm/s when the pile is 12 cm hight. at what rate is the sand leaving the bin at that instant

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question