<span>We call the part or the remaining number in a percent problem the amount.</span>
Answer:
The answer is 32.63
Step-by-step explanation:
Answer:
![3.14r^2(h-\frac{1}{3}h_1)](https://tex.z-dn.net/?f=3.14r%5E2%28h-%5Cfrac%7B1%7D%7B3%7Dh_1%29)
Step-by-step explanation:
Let h be the cylinders height and r the radius.
-The volume of a cylinder is calculated as:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
-Since the cone is within the cylinder, it has the same radius as the cylinder.
-Let
be the height of the cone.
-The area of a cone is calculated as;
![V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20%5Cfrac%7Bh%7D%7B3%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h_1)
The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:
![V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)](https://tex.z-dn.net/?f=V%3DV_%7Bcy%7D-V_%7Bco%7D%5C%5C%5C%5C%3D%5Cpi%20r%5E2h-%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h_1%2C%20%5Cpi%3D3.14%5C%5C%5C%5C%3D3.14r%5E2%28h-%5Cfrac%7B1%7D%7B3%7Dh_1%29)
Hence, the approximate area of the solid portion is ![3.14r^2(h-\frac{1}{3}h_1)](https://tex.z-dn.net/?f=3.14r%5E2%28h-%5Cfrac%7B1%7D%7B3%7Dh_1%29)
Answer:
The area of the cube is 486 inches^2
Step-by-step explanation:
In this question, we are tasked with calculating the area of cube with side 9 inch.
Mathematically, the area can be calculated using the formula A = 6s^2
Now, what we need to do is to substitute 9 inches for s
Thus, A = 6 * 9^2
A = 6 * 81
A = 486 inches^2