Question

The volume of a cylinder is given by the formula v =$\pi r^{2} h$. Find the height h if the volume is 35 cubic feet, the radius is and 7/22 and$\pi$ is 22/7.

Answer 1

Answer:

height = 110 feet

Step-by-step explanation:

From the question

Volume of the cylinder is given by

$v = \pi {r}^{2} h$

To find the height first make h the subject

That's divide both sides by πr²

We have

$h = \frac{v}{\pi {r}^{2} }$

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

$h = \frac{35}{ \frac{22}{7} \times ({ \frac{7}{22} })^{2} } \\ = \frac{35}{ \frac{22}{7} \times \frac{49}{484} } \\ = \frac{35}{ \frac{7}{22} } \\ \ = 35 \div \frac{7}{22} \\ = 35 \times \frac{22}{7} \\ = 5 \times 22$

We have the final answer as

110 feet

Hope this helps you