A container used to hold sugar is in the shape of a cylinder with a diameter of 8 inches and a height of 10 inches. Which measurement is closest to the volume of the storage container in cubic inches?
A 2,010.62 in.^3
B 1,005.31 in.^3
C 251.33 in. ^ 3
D 500.65 in. ^ 3
A. 2,010.62 in.^3
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. In this case, the diameter is given, so we need to divide it by 2 to get the radius.
Radius = 8 inches / 2 = 4 inches
Height = 10 inches
V = π(4^2)(10)
V = π(16)(10)
V = 160π
V ≈ 502.65 in.^3
The closest answer choice is A. 2,010.62 in.^3