Question

Tina is making a cylindrical sandbox that has a radius of 2 feet. She bought 18.84 cubic feet of sand for the sandbox. Which height does she need to make the sandbox to fit all the sand?

Answer 1

D) 1.5 ft

Proof:

Answer 2

She need a height of 1.5 ft

Explanation:

First we have to know that the volume of a cylinder is calculated by multiplying the area of ​​its base by the height.

v = 18.84 ft

h = ?

a = ?

v = a * h

we clear the value of h

v = a * h

h = v/a

h = 18.84/?

as we see we do not know the value of a, but we can calculate it with the following formula

π = 3.141592

r = 2ft

a = π * r²

a = π * (2ft)²

a = 12.57 ft²

now that we calculate the area we can go back to our previous formula and get the height

h = v/a

h = 18.84 ft³/ 12.57 ft²

h = 1.5 ft