A cylinder shaped water tank has a height of 212 ft (6461.76 cm), and is able to hold 15,000 gallons of water (15,000,000 mL or 15,000,000 cm3). The
volume of a cylinder is expressed by the equation
V = tr^2h
Where V is the volume, r is the radius, and h is the height of the cylinder.
Express the radius (r) in terms of volume (V) and height (h), then determine
the radius of a cylinder water tank (in centimeters) that is filled to capacity.

27.19 cm.

Explanation:

From the question given above, the following data were obtained:

Height (h) of cylinder = 6461.76 cm

Volume (V) of cylinder = 15000000 cm³

P1 (π) = 3.14

Radius (r) =.?

Thus, we can obtain the radius of the cylinder water tank by using the following formula as illustrated below:

V = πr²h

15000000 = 3.14 × r² × 6461.76

15000000 = 3.14 × 6461.76 × r²

Divide both side by 3.14 × 6461.76

r² = 15000000 / (3.14 × 6461.76)

Take the square root of both side

r = √[15000000 / (3.14 × 6461.76)]

r = 27.19 cm

Thus, the radius of the cylinder water tank is 27.19 cm.