Question

Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 inches high with a radius of 5 inches Gerardo uses an ice cream scoop that makes spherical scoops of ice cream with a diameter of 2.5 inches If gerardo opens a new tub of chocolate ice cream and scoops 37 scoops of chocolate ice cream about how much chocolate ice cream in cubic inches is left in the tub

Answer 1

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = $\pi$$r^{2}$h

volume of ice cream in the cylindrical tub = $\frac{22}{7}$ x $5^{2}$ x 9

                                           = $\frac{22}{7}$ x 25 x 9

                                           = 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = $\frac{4}{3}$$\pi$$r^{3}$

r = $\frac{2.5}{2}$

 = $\frac{5}{4}$ inches

volume of the scoop = $\frac{4}{3}$ x $\frac{22}{7}$ x $(\frac{5}{4} )^{3}$

                                  = $\frac{4}{3}$ x $\frac{22}{7}$ x $\frac{125}{64}$

                                  = 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

                                          = 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

                                                           = 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.