What is the radius of a ball whose volume is 243(pi symbol) cubic inches?

Question

What is the exact radius and the approximate radius?

Answer 1

V = (4/3)pi(r^3)

r^3 =3V/4pi

= (3)243pi/(4pi)

=729/4

r = cube root of (3/4)(243)

= (729/4)^(1/3)

r = exactly 182.25^(1/3) inches

r = approximately 5.6696 inches = about 5.67 inches

r= slightly more than 5 2/3 inches

V= (4/3)pi(r^3)

243pi = (4/3)pi(5.67)^3

243pi = 243pi