Acylindrical grain bin has a radius of 9 feet and a height of 30 feet. how many cubic feet of grain can the bin hold?

1,695.6 cubic feet
7,630.2 cubic feet
847.8 cubic feet
1,907.55 cubic feet

Option 2nd is correct

7,630.2 cubic feet

Step-by-step explanation:

Volume of a cylinder (V) is given by:

              ....[1]

where, r is the radius and h is the height of the cylinder.

As per the statement:

A cylindrical grain bin has a radius of 9 feet and a height of 30 feet

⇒r = 9 feet and h = 30 feet

Substitute the given values and in [1] we have;

⇒

Simplify:

V = 7,630.2 cubic feet

Therefore, 7,630.2 cubic feet of grain can the bin hold

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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