Question

The area of this cylinder's base is 150 square inches. The height of the cylinder is 6 inches. What is the volume of the cone that has the same base area and height? Show the steps of your solution and explain your work

Answer 1

\[A_{cylinder base}=\pi r^2=150\]

\[A{cone}=\frac{1}{3}\pi r h\]

Answer 2

find r from equation (1)

Answer 3

whats the volume of
the cone thou

Answer 4

that has same base area and hieght

Answer 5

\[A_{cone}=\frac{1}{3}\pi r^2h\]
\[\pi r^2=150 \implies \frac{ 1 }{ 3 }\color{red}{\pi r^2}h=\frac{1}{3}(\color{red}{150})h\]
h=6

Answer 6

ok thanks

Answer 7

i got 2700 as volume

Answer 8

is it not 1/3*150*6=300