• 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
+23252 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
