Question

The base radius of an ice cream cone is 3.5 cm and the slant height is 6.5 cm. What is the capicity of the ice cream cone and it’s surface area?

Answer 1

The capacity of ice cream cone is 70.26 cubic cm and surface area is 109.9 square cm.

Explanation:

We have been given that

r = 3.5 cm

l = 6.5 cm

The height of the cone is given by

`h=√(l^2-r^2)\\\\h=√(6.5^2-3.5^2)\\\\h=5.48\text{ cm}`

Hence, the capacity of cone is given by

`V=(1)/(3)\pi r^2h\\\\V=(1)/(3)\cdot3.14(3.5)^2(5.48)\\\\V=70.26cm^3`

And the surface area of cone is given by

`S=\pi rl+\pi r^2\\\\S=3.14(3.5)(6.5)+3.14(3.5)^2\\\\S=109.9cm^2`

The capacity of ice cream cone is 70.26 cubic cm and surface area is 109.9 square cm.