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• 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

Apr 8, 2020

#1
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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

Apr 8, 2020
#2
0

Thank you 😊

Guest Apr 16, 2020