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…

Question

asked Aug 25, 2022 10.6k views

1 Answer

Imran Balouch · Answer 1 · 2022-08-31T23:55:54+0000

Answer:

Volume left = 404.32 cubic inches

Explanation:

volume of a cylinder =
$\pi$
r^(2) h

volume of ice cream in the cylindrical tub =
(22)/(7) x
5^(2) x 9

=
(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 =
(4)/(3)
$\pi$
r^(3)

r =
(2.5)/(2)

=
(5)/(4) inches

volume of the scoop =
(4)/(3) x
(22)/(7) x
((5)/(4) )^(3)

=
(4)/(3) x
(22)/(7) x
(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.