(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A regulation NCAA basketball is a sphere of radius approximately 12 cm. Grains of Texas beach sand are

approximately spheres of radius 25 μm. If the inside volume of a basketball were completely filled with sand

(assume perfect packing with no empty space) what is the approximate total surface area, in m2, of all of the

sand grains?

2. Relevant equations

area of circle = pi(r)^2

surface area = 4pi(r)^2

volume = 4pi/3(r)^3

nanometers = 1/10^6 meters

centimeters = 1/10^2 meters

3. The attempt at a solution

I have tried to solve for this by finding the volume of the basketball then finding the surface area of a single grain. I then took the volume of the basket ball and divided it by the area of a single grain to see how many would fit, once i got that number i multiplied it by the surface area of one grain of sand for the total surface area. I made sure to convert all the units to their proper places and amounts but still no luck. Please help i have a final tomorrow and i can't figure this one out i have spent hours on it, thank you.

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# Homework Help: Surface area of basket ball full of sand

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