Respuesta :
the cone itself is 25.13, with the half sphere added it’s 41.8 :)
Volume of the ice cream in the cone will be 81.68 cubic inches.
Given in the question,
- An ice cream cone with the height of 6 inches and radius of 2 inches.
- If the ice completely fills the cone, it takes the shape of the cone as ell as hemisphere above the cone.
By these conditions,
Volume of the ice cream in the cone = Volume of the cone + Volume of the hemisphere
Since, volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
= [tex]\frac{1}{3}\pi (2)^{2}(6)[/tex]
= [tex]8\pi[/tex] cubic inches
Volume of the hemisphere = [tex]\frac{2}{3}\pi (3)^{3}[/tex]
= [tex]18\pi[/tex] cubic inches
Total volume = [tex](8\pi +18\pi )[/tex] cubic inches
= [tex]26\pi[/tex]
= 81.681
≈ 81.68 cubic inches
Therefore, volume of the ice cream will be 81.68 cubic inches.
Learn more,
https://brainly.com/question/1316494
