Question

How do I solve this

Answer 1

Pictures not showing up..

Answer 2

so hmm notice the picture below

now if the diameter is 150, the radius is half that, or 75

thus
`\bf V_(cylinder)=\pi r^2 h\qquad \begin{cases} h=4h\\ r=75 \end{cases}\implies V_(cylinder)=75^2\pi \cdot 4h \\\\\\ \boxed{V_(cylinder)=22500\pi h} \\\\\\ V_(cone)=\cfrac{\pi r^2 h}{3}\qquad \begin{cases} h=h\\ r=75 \end{cases}\implies \boxed{V_(cone)=1875\pi h}\\\\ -----------------------------\\\\ 343000=22500\pi h+2(1875\pi h)\implies 343000=26250\pi h \\\\\\ \cfrac{343000}{26250\pi }=h`

and surely, you know how much that is