What is the radius of a cylinder that has a volume of 500ft cubed and that is 10 ft tall?

r =4 ft

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the volume and the height, and approximate pi by 3.14

500 = 3.14 r^2 *10

500 = 31.4 r^2

Divide each side by 3.14

500/31.4 = 31.4 r^2/31.4

15.2356688 = r^2

Take the square root of each side

sqrt(15.2356688) = sqrt(r^2)

3.99 = r

Rounding

r =4 ft

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11