A state lottery sells instant-lottery scratch tickets. 12% of the tickets have prizes. Neil goes to the store and buys 10 ticket
1 answer:
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Answer:
ft³
Step-by-step explanation:
First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then
The formula for a sphere's surface area is
The formula for a sphere's volume is
So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:
Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - ft² - so we can use the area formula to find that radius:
And now that we have our radius, we can put it into our volume formula to find
ft³