180 miles per hour. 45*4 to get the answer.<span />
The route to an ancient pyramid is 79 miles long; if 20 miles is travelled each day for 3 days, the distance travelled in the fourth day would be 19 miles.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let the distance travelled in the first day be 20 miles. If the same time was travelled for 3 days, hence:
3(20) + x = 79
x = 19 miles
The route to an ancient pyramid is 79 miles long; if 20 miles is travelled each day for 3 days, the distance travelled in the fourth day would be 19 miles.
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Answer:
around 228
Step-by-step explanation:
Answer:
![\frac{dv}{dt} =7239.168 cm/sec](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D7239.168%20cm%2Fsec)
Step-by-step explanation:
From the question we are told that:
Rate ![\frac{dh}{dt}=1cm](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D1cm)
Height ![h=12cm](https://tex.z-dn.net/?f=h%3D12cm)
Radius ![r=4h](https://tex.z-dn.net/?f=r%3D4h)
Generally the equation for Volume of Cone is mathematically given by
![V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
![V=\frac{1}{3}\pi (4h)^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%284h%29%5E2h)
Differentiating
![\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%5Cfrac%7B16%7D%7B3%7D%5Cpi3h%5E2%5Cfrac%7Bdh%7D%7Bdt%7D)
![\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%5Cfrac%7B16%7D%7B3%7D%2A3.142%2A3%2A12%5E2%2A1)
![\frac{dv}{dt} =7239.168 cm/sec](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D7239.168%20cm%2Fsec)