A cylindrical aerosol can has a lid in the shape of a hemisphere that fits exactly on top of the can. The height of the can is 12cm and the radius of the base of the can is 3,2cm. Calculate the surface area of the lid and state whether the answer below is True or False.

Question

A cylindrical aerosol can has a lid in the shape of a hemisphere that fits exactly on top of the can. The height of the can is 12 cm and the radius of the base of the can is 3,2 cm.

The surface area of the lid is 45,80cm2.
Question 1 Select one:
True
False

Answer 1

False

To calculate the surface area of the lid, we first need to find the radius of the hemisphere lid.

The radius of the lid is the same as the radius of the base of the can, which is 3.2cm.

The formula for the surface area of a hemisphere is (2*pi*r^2)/2 + pi*r^2, which simplifies to 3*pi*r^2.

Plugging in the radius of the lid (3.2cm), we get: 3 * pi * (3.2)^2 = 101.888 cm^2.

Therefore, the correct surface area of the lid is 101.888 cm^2, not 45.80 cm^2.