Shaquana decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 7.6 cm and its radius as 3 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
To find the volume of a right cylinder, you can use the formula:
V = πr^2h
where:
V = volume
r = radius
h = height
Given:
r = 3 cm
h = 7.6 cm
Plug in the values:
V = π(3)^2(7.6)
V = π(9)(7.6)
V = 68.4π
Now, we can approximate the value of π to 3.14:
V ≈ 68.4 x 3.14
V ≈ 214.896 cm^3
Therefore, the estimated volume of the coffee cup is approximately 214.9 cubic centimeters.