An ice cream shop has two cones to choose from.
Cone A ;diameter 4 ;height 6
Cone B; diameter 6 : height 8
How much greater is the volume, in cubic centimeters, of the larger cone than the smaller cone? Round your answers to the nearest hundredth.
Use 3.14 for pi.
(3 points)
To calculate the volume of a cone, we use the formula: V = (1/3) * pi * r^2 * h, where V is the volume, pi is 3.14, r is the radius of the base, and h is the height of the cone.
For Cone A:
Radius = diameter / 2 = 4 / 2 = 2 cm
Volume = (1/3) * 3.14 * 2^2 * 6 = 25.12 cm^3 (rounded to the nearest hundredth)
For Cone B:
Radius = diameter / 2 = 6 / 2 = 3 cm
Volume = (1/3) * 3.14 * 3^2 * 8 = 75.36 cm^3 (rounded to the nearest hundredth)
The difference in volume between Cone B and Cone A is:
75.36 cm^3 - 25.12 cm^3 = 50.24 cm^3 (rounded to the nearest hundredth)
Therefore, the larger cone (Cone B) has a volume approximately 50.24 cm^3 greater than the smaller cone (Cone A).
An ice cream shop has two cones to choose from.
How much greater is the volume, in cubic centimeters, of the larger cone than the smaller cone? Round your answers to the nearest hundredth.
Use 3.14 for pi.
The volume of Cone A is
175.84cm3.
The volume of Cone B is
226.08 cm3.
The volume of Cone B is 50.24
cubic centimeters larger than the volume of the Cone A.