Answer:
V = 1.05r²h
Explanation:
The expression ''the volume V of a cone varies jointly as the square of the radius of the base,r, and the height, h'' can be represented as:
[tex]V=k\cdot r^2\cdot h[/tex]Where the k is a constant.
So, replacing V = 285, r = 4, and h = 17, we get:
[tex]285=k\cdot4^2\cdot17[/tex]Solving for k, we get:
[tex]\begin{gathered} 285=k\cdot16\cdot17 \\ 285=k\cdot272 \\ \frac{285}{272}=\frac{k\cdot272}{272} \\ 1.05=k \end{gathered}[/tex]So, the equation of the joint variation is:
[tex]V=1.05r^2h[/tex]