asked 188k views
4 votes
4. (02.06 MC)

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

1 Answer

0 votes

Answer: See explanation

Explanation:

Diameter = 8 inches

Radius = Diameter/2 = 8/2 = 4 inches

Height of the cylinder = 3 inches

Height of the cone = 18 inches

Volume of a cylinder = π r² h

= 3.14 × 4² × 3

= 3.14 × 16 × 3

= 150.72

Volume of a cone = 1/3 π r² h

= 1/3 × 3.14 × 4² × 18

= 1/3 × 3.14 × 16 × 18

= 301.44

From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.

answered
User Cmrussell
by
7.3k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.