Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches.
Hint: Round your answer to the nearest hundredth.
To find the volume of a cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.
Since the diameter is given, we can find the radius by dividing it by 2.
So, the radius (r) is 16 inches / 2 = 8 inches.
Plugging in the values, we have V = π(8)^2(7).
Calculating it further, we have V = π(64)(7).
Multiplying the values inside the parentheses, we have V = 448π.
To round our answer to the nearest hundredth, we can use the approximation π ≈ 3.14.
So, the volume is V ≈ 448(3.14).
Calculating it further, we have V ≈ 1409.92 cubic inches.
Rounding this to the nearest hundredth, the volume of the cylinder is approximately 1409.92 cubic inches.