Question

Two similar ice cream cones are made of a half sphere on top and a cone on bottom. They have radii of 1 inch and 1.75 inches respectively. What is the ratio of the volume of the small ice cream cone to the volume of the large ice cream cone? Round to the nearest tenth.

Answer 1

To find the ratio of the volume of the small ice cream cone to the volume of the large ice cream cone, we can use the formula for the volume of a cone, which is V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Step-by-step explanation:

To find the ratio of the volume of the small ice cream cone to the volume of the large ice cream cone, we can use the formula for the volume of a cone, which is V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

For the small cone, with a radius of 1 inch, the volume is V1 = (1/3)π(1)²h1. For the large cone, with a radius of 1.75 inches, the volume is V2 = (1/3)π(1.75)²h2.

To find the ratio of the volumes, we can divide V1 by V2: V1/V2 = ((1/3)π(1)²h1) / ((1/3)π(1.75)²h2)

Since the π and the (1/3) cancel out, the ratio simplifies to V1/V2 = (1/1.75)²(h1/h2).