We appreciate your visit to A grain silo is composed of a cylinder and a hemisphere The diameter is 4 4 meters and the height of its cylindrical portion is. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We begin by noting that the silo is made up of a cylinder with a hemisphere on top. The given diameter is 4.4 meters, so the radius is
$$
r = \frac{4.4}{2} = 2.2 \text{ m}.
$$
The height of the cylindrical portion is 6.2 meters. With the given value $\pi = 3.14$, we first calculate the volume of the cylinder using
$$
V_{\text{cyl}} = \pi r^2 h.
$$
Substituting the known values,
$$
V_{\text{cyl}} = 3.14 \times (2.2)^2 \times 6.2 \approx 94.225 \text{ m}^3.
$$
Next, we calculate the volume of the hemispherical portion. The formula for the volume of a hemisphere is
$$
V_{\text{hemisphere}} = \frac{2}{3}\pi r^3.
$$
Substituting the value for $r$,
$$
V_{\text{hemisphere}} = \frac{2}{3} \times 3.14 \times (2.2)^3 \approx 22.289 \text{ m}^3.
$$
Now, the total volume of the silo is the sum of the cylinder and hemisphere volumes:
$$
V_{\text{total}} = V_{\text{cyl}} + V_{\text{hemisphere}} \approx 94.225 + 22.289 \approx 116.514 \text{ m}^3.
$$
Rounding to the nearest tenth, we obtain
$$
V_{\text{total}} \approx 116.5 \text{ m}^3.
$$
Thus, the approximate total volume of the silo is $\boxed{116.5 \text{ m}^3}$.
$$
r = \frac{4.4}{2} = 2.2 \text{ m}.
$$
The height of the cylindrical portion is 6.2 meters. With the given value $\pi = 3.14$, we first calculate the volume of the cylinder using
$$
V_{\text{cyl}} = \pi r^2 h.
$$
Substituting the known values,
$$
V_{\text{cyl}} = 3.14 \times (2.2)^2 \times 6.2 \approx 94.225 \text{ m}^3.
$$
Next, we calculate the volume of the hemispherical portion. The formula for the volume of a hemisphere is
$$
V_{\text{hemisphere}} = \frac{2}{3}\pi r^3.
$$
Substituting the value for $r$,
$$
V_{\text{hemisphere}} = \frac{2}{3} \times 3.14 \times (2.2)^3 \approx 22.289 \text{ m}^3.
$$
Now, the total volume of the silo is the sum of the cylinder and hemisphere volumes:
$$
V_{\text{total}} = V_{\text{cyl}} + V_{\text{hemisphere}} \approx 94.225 + 22.289 \approx 116.514 \text{ m}^3.
$$
Rounding to the nearest tenth, we obtain
$$
V_{\text{total}} \approx 116.5 \text{ m}^3.
$$
Thus, the approximate total volume of the silo is $\boxed{116.5 \text{ m}^3}$.
Thanks for taking the time to read A grain silo is composed of a cylinder and a hemisphere The diameter is 4 4 meters and the height of its cylindrical portion is. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
