Question

An ice cream cone has a scoop of ice cream that is a half-sphere on top. what is the volume of the whole ice cream cone with the ice cream? height is 14 in and radius 9 in. use 3.14 for pi. Round to the nearest tenth. Please and thank you.

Answer 1

1337.4 cubic in is your answer

Answer 2

Volume of a cone = PI x r^2 x h/3

R = 1/2 x diameter = 1/2 x 9 = 4.5

h = 14

Volume of the cone = 3.14 x 4.5^2 x 14/3

Volume = 1146.623 cubic in.

The volume of a sphere = 4/3 x PI x r^3

r = 4.5

Volume = 4/3 x 3.14 x 4.5^3

Volume = 381.51

The ice cream is a half sphere, so divide by 2:

381.51 / 2 = 190.755 cubic in.

Total volume = 1146.623 + 190.755 = 1337.4 cubic in. (rounded to nearest tenth)