Acylindrical water tank's height is 48 feet and the diameter is 30 feet. considering that 1 cubic yard = 202 gallons, how many gallons are in the tank when filled to capacity?

253,841 gallons

Step-by-step explanation:

Volume of a cylinder is:

V = π r² h

where r is the radius (half the diameter), and h is the height.

We're given r = 30 ft / 2 = 15 ft, and h = 48 ft.  Let's convert to yards:

r = 15 ft × (1 yd / 3ft) = 5 yd

h = 48 ft  × (1 yd / 3ft) = 16 yd

Plugging in:

V = π (5 yd)² (16 yd)

V = 1256.6 yd³

Converting to gallons:

V = 1256.6 yd³ × (202 gal / yd³)

V = 253840.7 gal

Rounded to the nearest gallon, the tank's capacity is 253,841 gallons.

since we know the diameter is 30 feet, then its radius is half that or 15 feet.

1.5%

step-by-step explanation: