Question

A cylinder labeled X has a height of 12 inches and a radius of 10 inches. Another cylinder labeled Y has a height of 36 inches and a radius of 30 inches.

The volume of cylinder Y is _______ times the volume of cylinder X.

Answer 1

Comparing both ratios,
\[\large V_x:V_y\]
\[\large\pi r^2_1h_1:\pi r^2_2h_2\]
\[\large \cancel\pi r^2_1h_1:\cancel\pi r^2_2h_2\]
\[\large r^2_1h_1: r^2_2h_2\]
\[\large (10)^2(12): (30)^2(36)\]
\[\large 1200:32400\]
Do the final step by dividing 1200 to both sides

Answer 2

1:27?

Answer 3

yes