Answer :
Answer:
height = 110 feet
Step-by-step explanation:
From the question
Volume of the cylinder is given by
[tex]v = \pi {r}^{2} h[/tex]
To find the height first make h the subject
That's divide both sides by πr²
We have
[tex]h = \frac{v}{\pi {r}^{2} } [/tex]
From the question
v = 35 ft³
r = 7 / 22
π = 22/7
Substitute the values into the above formula and solve for the height
That's
[tex]h = \frac{35}{ \frac{22}{7} \times ({ \frac{7}{22} })^{2} } \\ = \frac{35}{ \frac{22}{7} \times \frac{49}{484} } \\ = \frac{35}{ \frac{7}{22} } \\ \ = 35 \div \frac{7}{22} \\ = 35 \times \frac{22}{7} \\ = 5 \times 22[/tex]
We have the final answer as
110 feet
Hope this helps you