Question:
A company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The larger cones are 5.1 inches tall and have a diameter of 4.5 inches. Abour how much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone?
Answer:
The volume of the larger cone is 19
greater than the volume of the smaller cone
Explanation:
Given:
Length of small cone = 3.5 inches
Diameter of small cone = 3 inches
Length of large cone = 5.1 inches
Diameter of large cone = 4.5 inches
To Find :
how much greater is the volume of the larger cone than the volume of the smaller cone = ?
Solution:
Step 1 : Finding the volume of small cone
Radius =
= 1.5 inches
Volume of the cone =

Substituting the values
Volume of smallcone =

=>

=>

=>

=>

=>8.2425
Step 2 : Finding the volume of large cone
Radius =
= 2.25 inches
Volume of the cone =

Substituting the values
Volume of largecone =

=>

=>

=>

=>

=>27.02
Volume of large cone - volume of small cone
=>27.02 - 8.2425
=>18.77
=>19(rounding off to nearest tenth)