Question

The volume V (in cubic feet) of a right cylinder with a height of 3 feet and radius r (in feet) is given by V=3πr2. Solve the formula for r. Then find the radius of the cylinder when the volume is 236 cubic feet. Round your answer to the whole number.

Answer 1

Answer:

$r=\sqrt{\frac{V}{3\pi}}\\\\r\approx 5.00\ ft$

Step-by-step explanation:

-The volume of a cylinder is given by the formula:

$V=3\pi r^2$

#We make r the subject of the formula:

$V=3\pi r^2\\\\r^2=\frac{V}{3\pi}\\\\r=\sqrt{\frac{V}{3\pi}}$

#We then substitute for the stated volume and solve for r:

$r=\sqrt{\frac{V}{3\pi}}, V=236\\\\\therefore r=r=\sqrt{\frac{236}{3\pi}}\\\\r=5.00404\approx\ 5.00\ ft$

Hence, the cylinder's radius is approximately 5.00 ft