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 hei
ght does she need to make the sandbox to fit all the sand?
1 answer:
Answer:
She need a height of 1.5 ft
Step-by-step 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
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