Answer:
[tex]720\pi[/tex]
Step-by-step explanation:
Translating to English:
A cylinder has a volume that is 25% greater than a sphere with a surface area of [tex]576\pi[/tex]. What is the cylinder's volume?
Solution:
This isn't a hard question. You do not need to get inside the nitty gritty of the formula for volumes and surface areas. The SA of sphere is given and we are told the VOLUME of CYLINDER is 25% GREATER THAN THIS!
So, we just need to figure out what is 25% greater than [tex]576\pi[/tex]
Lets keep the [tex]\pi[/tex] as constant and find 25% greater than 576 and we tag along the [tex]\pi[/tex].
We need to find 25% of 576 and add it to 576 to get our answer.
25% = 25/100 = 0.25
So,
0.25*576 = 144
So,
144 + 576 = 720
The answer would be [tex]720\pi[/tex]
The 2nd answer choice (with a typo here), is correct.
