Question

He volume V (in cubic feet) of a right cylinder with a height of 5 feet and radius r (in feet) is given by V=5πr2. Solve the formula for r. Then find the radius of the cylinder when the volume is 770 cubic feet. Round your answer to the whole number.

Answer 1

Answer:

$770 = 5\pi r^2$

If we divide both sides by $5\pi$ we got:

$\frac{770}{5\pi} = r^2$

And taking square root we got:

$r = \sqrt{\frac{770}{5\pi}}= 7.001 ft$

And rounded to the nearest whole number we got 7 ft

Step-by-step explanation:

For this case we know that the hieght of a right cylinder is 5 ft and the volume is given by:

$V = 5 \pi r^2$

And we know that the volume $V = 770 ft^3$ and we want to solve for r so we can set up the following equation:

$770 = 5\pi r^2$

If we divide both sides by $5\pi$ we got:

$\frac{770}{5\pi} = r^2$

And taking square root we got:

$r = \sqrt{\frac{770}{5\pi}}= 7.001 ft$

And rounded to the nearest whole number we got 7 ft