2. An empty ice cream cone has a height of 3.02 inches and a radius
of 0.98 inches. What is the approximate volume of ice cream it will
hold within the cone (not heaped over)?
F. 1 in3
G. 3 in 3
H. 9 in
J. 12 in

Respuesta :

Answer:

Approximate volume of ice cream = 3.03 inches

Step-by-step explanation:

Given - An empty ice cream cone has a height of 3.02 inches and a radius

of 0.98 inches.

To find - What is the approximate volume of ice cream it will  hold within the cone  ?

Proof -

We know that,

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

where

r is the radius of the cone

h is the height of the cone

Here,

Given that,

r = 0.98 inches

h = 3.02 inches

So,

Volume = [tex]\frac{1}{3}\pi r^{2}h[/tex]

             = [tex]\frac{1}{3}(3.14) (0.98)^{2}(3.02)[/tex]         ( Consider the value of [tex]\pi[/tex] = 3.14)

             = 3.0373

∴ we get

Approximate volume of ice cream = 3.03 inches

So,

The correct option is - G. 3 in 3