A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed between 64 congruent, smaller hemisphere-shaped molds. What is the radius of each of the smaller molds, in feet?
+128408 V (hemisphere ) = (2/3)pi * (1)^3 = 2pi/3 ft^3
One of the smaller hemispheres contains (2pi/3) / 64 = (2/192) pi = pi/96 ft^3 of chocolate
pi/96 = (2/3) pi * r^3
1/96 = (2/3) r^3
(1/96) (3/2) = r^3
(3/192) = r^3
(1/64) = r^3 take the cube root of both sides
(1/4) ft = r
