Question

Help me with this!, Pls and thank you

Answer 1

The volume of the silo is approximately equal to 1047.2 cubic feet. (Correct choice: D)

How to determine the volume of a silo

In this problem we must determine the volume of a silo, which is the sum of the volumes of two cones and a right cylinder, whose volume formulae are, respectively:

Cone

`V = (\pi)/(3) \cdot r^2 \cdot h`

Where:

• r - Radius, in feet.
• h - Height, in feet.
• V - Volume, in cubic feet.

Cylinder

`V = \pi \cdot r^2 \cdot h`

Now we proceed to compute the volume of the silo by substituting terms and adding each component:

`V = 2\cdot (\pi)/(3)\cdot 5^2\cdot 5 + \pi \cdot 5^2\cdot 10`

V = 1047.198 ft³

The silo has a volume of approximately 1047.198 ft³.