Question

The volume of a right cylindrical water tank is 1000π cubic meters. The radius of the base of the tank is 10 meters. Find the length, in meters, of h, the height of the tank.

Answer 1

10 m

Explanation:

V = π × r² × h

1000π = π × 10² × h

1000π/100π = h

h = 10 m

Answer 2

10 m

Explanation:

The volume of a cylinder is given by

V = pi r^2h

We know the radius is 10 and the volume is 1000pi

1000pi = pi (10)^2 h

1000 pi = 100 pi h

Divide each side by 100 pi

1000 pi/100pi = 100 pi h/100pi

10 = h