Question

Joseph is building a cone using modeling clay. The cone has a radius of 6 cm and a height of 12 cm. Joseph adds additional clay, keeping the radius the same, until the cone reaches a height of 18 cm.

How much clay did Joseph add?
Use 3.14 to approximate pi and express your final answer in hundredths.

cm3

Answer 1

Cone Volume = (π • r² • h) ÷ 3

Original cone = (3.14 * 6^2 * 12) / 3

Original cone = 452.16 cc

Larger cone =  (3.14 * 6^2 * 18) / 3 = 678.24 cc

Difference = (678.24 -452.16) =  226.08 cc

Answer 2

they used 8 cm of clay