Answer:
HCF of 60 and 80 is 20.
Step-by-step explanation:
Option B) Determine the volume of the cake V= πr²h and divide that amount by 18
<u>Step-by-step explanation:</u>
- It is given that, the birthday cake is in the shape of the cylinder.
- Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.
<u>The volume of the cylinder is given by,</u>
Volume of the birthday cake = πr²h
After that, it was asked to find the volume of each piece of the cake.
In this case, the birthday cake is cut into 18 pieces.
We already know the total volume of the birthday cake which is πr²h.
In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.
Here, the whole part of the cake is 1.
The number of parts it has been divided after it is made into pieces = 18 parts.
Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.
Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.
Answer:
791.68 cm/s
Step-by-step explanation:
The volume flow rate can be interpreted as the integral of fluid velocity over area
![\dot{V} = \int\limits^6_0 {v(r) 2\pi r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {(25-r^2)r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {25r-r^3} \, dr\\\\\dot{V} = 2\pi[12.5r^2 - r^4/4]_0^6\\\dot{V} = 2\pi(12.5*6^2 - 6^4/4 - 12.5*0 - 0)\\\dot{V} = 2\pi*126 = 791.68 cm/s](https://tex.z-dn.net/?f=%5Cdot%7BV%7D%20%3D%20%5Cint%5Climits%5E6_0%20%7Bv%28r%29%202%5Cpi%20r%7D%20%5C%2C%20dr%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5Cint%5Climits%5E6_0%20%7B%2825-r%5E2%29r%7D%20%5C%2C%20dr%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5Cint%5Climits%5E6_0%20%7B25r-r%5E3%7D%20%5C%2C%20dr%5C%5C%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5B12.5r%5E2%20-%20r%5E4%2F4%5D_0%5E6%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%2812.5%2A6%5E2%20-%206%5E4%2F4%20-%2012.5%2A0%20-%200%29%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%2A126%20%3D%20791.68%20cm%2Fs)
The answer is 22 because the 5t and -5t cancel each other
Tan A = BC/AB = 15/8
answer is B. 15/8
