Question

At the beach, a child uses a container in the shape of a cylinder to build a castle. The child completely fills the container with sand.  The container has a height of 10 inches and a diameter of 12 inches  there are 231 cubic inches in one gallon of sand. What is the approximate volume of san, in gallons in the container? Round your answer to the nearest gallon.

Answer 1

5 gallons

Explanation:

The container volume can be found from the formula for the volume of a cylinder:

V = πr^2h

V = π(6 in)^2(10 in) = 360π in^3 ≈ 1130.97 in^3

Then the number of gallons is ...

(1130.97 in^3)/(231 in^3/gal) = 4.896 gal

The approximate volume of sand is 5 gallons.