Answer:
75 x 47 = 3525
Step-by-step explanation:
Answer:
![V=179.6cm^3](https://tex.z-dn.net/?f=V%3D179.6cm%5E3)
Step-by-step explanation:
the volume of a cylinder is given by:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
where r is the radius and h is the height.
and the surface area:
![SA=2\pi r^2+2\pi rh](https://tex.z-dn.net/?f=SA%3D2%5Cpi%20r%5E2%2B2%5Cpi%20rh)
the first term is the area of the circles and the second term is the area of the body.
since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:
![V=\frac{1}{2}SA](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7DSA)
substitutig the equivalent expressions on each side:
![\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%20h%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%282%5Cpi%20r%5E2%2B2%5Cpi%20r%20h%29)
and we simplify and solve for the height (since is the value we don't know of the cylinder):
![\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%20h%20%3D%20%5Cpi%20r%5E2%2B%5Cpi%20r%20h%5C%5C%5Cpi%20r%5E2h-%5Cpi%20rh%3D%5Cpi%20r%5E2%5C%5Ch%28%5Cpi%20r%5E2-%5Cpi%20r%29%3D%5Cpi%20r%5E2%5C%5Ch%3D%5Cpi%20r%5E2%2F%28%5Cpi%20r%5E2-%5Cpi%20r%29)
we substitute the value of the radius
, and we get:
![h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm](https://tex.z-dn.net/?f=h%3D%5Cpi%20%287cm%29%5E2%2F%28%5Cpi%20%287cm%29%5E2-%5Cpi%20%287cm%29%29%5C%5Ch%3D153.938%2F%28153.938-21.991%29%5C%5Ch%3D153.938%2F131.947%5C%5Ch%3D1.1666cm)
thus the volume is:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
![V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3](https://tex.z-dn.net/?f=V%3D%5Cpi%20%287cm%29%5E2%281.1666cm%29%5C%5CV%3D179.6cm%5E3)
Answer:
2
Step-by-step explanation:
There is 2 decimal places because you see how many numbers there are behind each of the decimals when multiplying then add them and that’s how many numbers are behind the decimal in the problem
Answer:
Log x = 3 is the same as Log into base 10 of 3
Recall from Law of Logarithm: if Log a = x , then a = 10^ x
therefore If Log x = 3 , then x = 10^3 = 1000
Step-by-step explanation: