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rusak2 [61]
4 years ago
8

!!!!!!!!!!PLEASE HELP ASAP!!!!!!!!!!

Mathematics
1 answer:
defon4 years ago
8 0
Look at the picture.

The formula of the volume of a cylinder:

V_C=\pi r^2H

We have:

d=6m;\ d=2r\to r=3m\\H=25m

Substitute:

V_C=\pi\cdot3^2\cdot25=225\pi\ m^3

The formula of the volume of a sphere:

V_S=\dfrac{4}{3}\pi r^3

We have a hemisphere, therefore the formula of the volume is:

V_H=\dfrac{1}{2}V_S=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi r^3=\dfrac{2}{3}\pi r^3

We have:

r=3m

Substitute:

V_H=\dfrac{2}{3}\pi\cdot3^3=\dfrac{2}{3}\pi\cdot27=2\pi\cdot9=18\pi\ m^3

The volume of a silo:

V=V_C+V_H\to V=225\pi+18\pi=243\pi\ m^3\approx243\cdot3.14\approx763\ m^3

Answer: 763 m³.

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I hope this helps you


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4 years ago
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Step-by-step explanation: When we have this kind of a setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.

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