A hemispherical water tank has an inside diameter of 10 feet. If water has a density of 62.4 pounds per cubic foot, what is the weight of the water in a full tank, to the nearest pound?

32672.64 pounds

Step-by-step explanation:

Diameter = 10ft

Radius = d / 2 = 10 / 2 = 5ft

Density (p) = 62.4 pounds/ft³

Volume of a hemisphere = 4/3Πr³

V = 4/3 * π * 5³

V = 4/3 * 392.7

v = 523.6ft³

but density ρ = mass / volume

mass = density * volume

Mass = 62.4 * 532.6

Mass = 32672.64pounds

The weight of the water in full tank is 32672.64 pounds

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).