• Akira works part time in his aunt’s snow cone shop. The crushed ice is stored in a cylinder tub that has a radius of 7 inches and a height of 12 inches. Akira uses a special scoop in the shape of a sphere to scoop the ice. The scoop has a a diameter of 1.75 inches.
• If Akira uses one of the cylinder tub of ice and uses the special scoop to get the ice 23 times, how much ice, in cubic feet, is in the tube
The formula for the volume of a cylinder is: V = pi·r2·h.
V = pi·72·12 cu. in.
V = 1847.26 cu. in.
The formula or the volume of a sphere is: V = (4/3)·pi·r3.
(diameter = 1.75 -> radius = 0.875) V = (4/3)·pi·(0.875)3 cu. in.
V = 2.806 cu. in.
23 scoops = 23 x 2.806 cu. in. = 64.54 cu. in.
1847.26 cu.in. - 64.54 cu. in. = 1782.72 cu. in,
1 cu. ft = (12 in)3 = 1728 cu. in
1782.72 cu. in. / 1728 cu. in. (per cu. ft.) = 1.03 cu. ft. remaining