Question

The radius of a cylindrical water tank is (6 , {ft}), and its height is (9 , {ft}). What is the volume of the tank? Use the value (3.14) for (pi), and round your answer to the nearest whole number.

a) (847 , {ft}^3)
b) (904 , {ft}^3)
c) (1017 , {ft}^3)
d) (1134 , {ft}^3)

Answer 1

The volume of the cylindrical water tank with a radius of 6 ft and height of 9 ft is approximately 1017 ft³, after using the formula V = πr²h with π approximated as 3.14 and rounding to the nearest whole number.

Step-by-step explanation:

The volume of a cylindrical water tank is found using the formula for the volume of a cylinder, V = πr²h, where 'V' is volume, 'r' is radius, and 'h' is height. To calculate this, we use the given radius (6 ft) and height (9 ft) of the tank:

V = 3.14 × (6 ft)² × 9 ft

V = 3.14 × 36 ft² × 9 ft

V = 3.14 × 324 ft²

V ≈ 1017.36 ft³

When rounded to the nearest whole number, the volume of the tank is approximately 1017 ft³, which corresponds to option (c).