Question

The world's biggest rubber band ball has a surface area of 27648. Using 3 as pi for both surface area and volume, estimate the volume of the ball.

Question 5 options:

358966


788428


442368


257854

Answer 1

we know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=27648
r=√[27648/(4*3)]-------> r=√2304-----> r=48 units

volume of a sphere=(4/3)*pi*r³-----> (4/3)*3*48³---> 442638 units³

the answer is
442368