How much grain can this container hold?
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Answer:
953.78 in^3 of grain.
Step-by-step explanation:
The volume of a cylinder = π r^2 h.
For this cylinder r = radius of the base = 9/2
= 4.5 in and the height h = 15 in
So the volume is 3.14 * 4.5^2 * 15
= 953.78 in^3.
The total amount of the grain which can be hold by the provided container is 1589.63 cubic inches. Option 4 is correct.
Volume of cylinder is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
Volume of cylinder is the can be given as,
[tex]V=\dfrac{\pi d^2 h}{4}[/tex]
Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.
In the given figure, the container has the shape of cylinder. to find the amount of grain which this container can be hold, the volume of this container need to be calcualted.
This container has 15 in long height and 9 in dimeter. Plug the values in the above formula as,
[tex]V=\dfrac{3.14 (15^2 )\times9}{4}\\V=1589.625\\V\approx 1589.63 \rm\; in^3[/tex]
Hence, the total amount of the grain which can be hold by the provided container is 1589.63 cubic inches. Option 4 is correct.
Learn more about the volume of cylinder here;
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