Question

2. A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside
of? (1 point)
15 in^3
20 in^3
25 in^3
30 in^3
23. Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14
for pi. (1 point)
4 inches
6 inches
8 inches
10 inche

Answer 1

\(\bf \textit{volume of a cylinder}={\color{brown}{ \pi r^2 h}}
\\ \quad \\
\textit{volume of a cone}=\cfrac{\color{brown}{ \pi r^2 h}}{3}\)

any ideas?

Answer 2

if both the cylinder and the cone, share the same height and radius...., then "r" and "h" on both equations are the same and thus simplifyable

Answer 3

so if the cone has a volume of "5", what do you think would be the volume of a cylinder with the same height and radius ?