Question

Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the approximate volume of the toy ice cream cone? Use 3.14 for . An image shows the ice cream cone. The radius of the half-sphere and the cone is 7 centimeters. The height of the cone is 10 centimeters

Answer 1

Answer: $1,230.88\ cm^3$

Step-by-step explanation:

The volume of the toy ice cream cone is the sum of the volume of the cone ($V_{c}$) and the volume of the half-sphere ($V_{hs}$):

$V_{toy}=Vc+V_{hs}$

The formula for calculate the volume of a cone is:

$V_c=\frac{\pi r^2h }{3}$

Where "r" is the radius and "h" is the height.

In this case:

$r=7\ cm\\h=10\ cm$

The formula for calculate the volume of a half-sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Where "r" is the radius.

In this case:

$r=7\ cm$

Subsituting values, we get:

$V_{toy}=\frac{(3.14)(7\ cm)^2(10\ cm)}{3}+\frac{2}{3}(3.14)(7\ cm)^3=1,230.88\ cm^3$