4. Volumes of Prisms and Cylinders
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Use the formula for the volume of a cylinder.
About 2.52 feet
We are asked to find the diameter of the following cylinder.
The purpose of the cylinder is to hold V_\text{sand}=10 cubic feet of sand. Let r be its radius. Let's use the formula for the volume of a cylinder and substitute the known values to find r.
V_\text{sand}={\color{#0000FF}{10}}, h= 2
Multiply
.LHS /2Ï€.=.RHS /2Ï€.
Rearrange equation
π ≈ 3.1416
Multiply
Calculate quotient & Use a calculator
sqrt(LHS)=sqrt(RHS)
Calculate root & Use a calculator
Round to 2 decimal place(s)
Therefore, the radius of the cylinder should be about 1.26 feet. This tells us that its diameter should be about 2* 1.26=2.52 feet.