Given that Antarctica is roughly semicircular with a radius of 2000 km and has an average ice thickness of 3000 m. a) How many km3 of ice does Antarctica contain? b) Assuming all the ice melts, how much will this raise sea level (ignoring that the Earth has curvature and density differences between water and ice)?

a. V = 0.5(pi*r^2)*h.

V=0.5(3.14*(2000)^2)*3=18,840,000 km^3.

To calculate the volume of ice in Antarctica, we need to use the formula for the volume of a hemisphere:

V = (2/3) * π * r^3

where V is the volume, π is a mathematical constant (approximately 3.14159), and r is the radius.

a) Calculating the volume of ice in Antarctica:
Given that Antarctica is roughly semicircular with a radius of 2000 km, we can substitute the radius into the formula and calculate the volume.

V = (2/3) * π * (2000 km)^3
V ≈ (2/3) * 3.14159 * (2000 km)^3

Using a calculator, you can compute the value of V.

b) Calculating the sea level rise if all the ice melts:
Assuming all the ice in Antarctica melts, the volume of water released will be equal to the volume of ice. To determine the sea level rise, we need to divide the volume by the surface area of the Earth's oceans.

The surface area of the Earth's oceans is approximately 361.9 million square kilometers.

Let's assume that the entire volume of ice melts and is distributed evenly over the Earth's oceans. We can calculate the sea level rise using the following formula:

Sea Level Rise = Volume of Ice / Surface Area of Oceans

Substituting the calculated volume of ice and the surface area of oceans into the formula, you can calculate the sea level rise. However, it's important to note that this calculation ignores the Earth's curvature and density differences between water and ice, which may affect the actual sea level rise.