Answer:
The capacity of ice cream cone is 70.26 cubic cm and surface area is 109.9 square cm.
Step-by-step explanation:
We have been given that
r = 3.5 cm
l = 6.5 cm
The height of the cone is given by
[tex]h=\sqrt{l^2-r^2}\\\\h=\sqrt{6.5^2-3.5^2}\\\\h=5.48\text{ cm}[/tex]
Hence, the capacity of cone is given by
[tex]V=\frac{1}{3}\pi r^2h\\\\V=\frac{1}{3}\cdot3.14(3.5)^2(5.48)\\\\V=70.26cm^3[/tex]
And the surface area of cone is given by
[tex]S=\pi rl+\pi r^2\\\\S=3.14(3.5)(6.5)+3.14(3.5)^2\\\\S=109.9cm^2[/tex]
The capacity of ice cream cone is 70.26 cubic cm and surface area is 109.9 square cm.
